The top submitters as of Jan 2. 2002
Antti Karttunen
karttu at megabaud.fi
Fri Jan 4 01:12:04 CET 2002
James A Sellers wrote:
> I would be *very* interested in seeing a similar listing for those people
> who have **extended** sequences. (I think I have over 1000 at this
> point.)
Here you are:
from http://www.megabaud.fi/~karttu/matikka/eistatis/euthcounts.txt
I tried to clear some of the trash with various kludges, but a lots of
it still remains, especially towards the end of file. Included
as an attachment.
Terveisin,
Antti Karttunen
-------------- next part --------------
1199 James A. Sellers
794 Olivier Gerard
701 Larry Reeves
420 Vladeta Jovovic
395 David W. Wilson
292 Robert G. Wilson V
276 Erich Friedman
218 Jud McCranie
187 Christian G. Bower
173 Naohiro Nomoto
148 Michael Somos
137 Patrick De Geest
121 Neil Sloane
110 Henry Bottomley
106 Jason Earls
92 Dean Hickerson
59 Kok Seng Chua
50 Klaus Brockhaus
50 Don Reble
46 Matthew M. Conroy
44 Barbara Haas Margolius
40 Francisco Salinas
38 Michel Ten Voorde
32 Eric W. Weisstein
30 Asher Natan Auel
29 Arlin Anderson
27 Wolfdieter Lang
27 Steven Finch
27 Reiner Martin
26 Harvey P. Dale
26 Andrew Gacek
25 Antonio G. Astudillo
24 Frank Ellermann
22 John W. Layman
21 Ulrich Schimke
21 Jeffrey Shallit
20 Labos Elemer
18 Wouter Meeussen
18 Valery A. Liskovets
18 Scott Lindhurst
18 Klaus Strassburger
17 Winston C. Yang
16 Hugo Van Der Sanden
15 Michael Lugo
15 H. P. Robinson
14 Len Smiley
13 Simon Plouffe
13 See A023902
13 Robert Harley
13 Floor Van Lamoen
13 Asher Auel
12 Sascha Kurz
11 Yong Kong
10 R. C. Read
10 Paul Zimmermann
10 Clark Kimberling
9 Probably Finite
9 No Other Terms
9 Maple Code
9 Joe Keane
9 Antti Karttunen
8 Sequence Extended
8 Robert Lozyniak
8 David Broadhurst
8 Comments
8 Church's Table Extends Through Degree
8 Andrew J. Gacek
8 ?
7 Torsten Sillke
7 Recurrence
7 Michael Kleber
7 Lior Manor
7 Joe K. Crump
7 Hans Havermann
7 Goran Kilibarda
7 Enoch Haga
7 Ends At A
7 Brendan McKay
6 {0
6 Vasiliy Danilov
6 Tomas Oliveira E Silva
6 Sam Alexander
6 Richard Guy
6 No Others
6 Matthias Engelhardt
6 Maple Program
6 Jr
6 Jonathan Cross
6 It Is Known That A
6 Felice Russo
6 Eric Rogoyski
6 Colin L. Mallows
6 Avi Peretz
6 Antreas P. Hatzipolakis
5 Warut Roonguthai
5 The Next Term Is Too Large To Include
5 Og
5 Oct
5 Next Term
5 Mohammad K. Azarian
5 Mitch Harris
5 Marc Le Brun
5 Jeroen Lahousse
5 I Don't Know How Many Of These Values Have Been Rigorously Proved - Njas
5 Howard A. Landman
5 Further Values For
5 Extension
5 Douglas Burke
5 Comment
5 Carlos B. Rivera F
5 Barry E. Williams
5 And James A. Sellers
5 Alford Arnold
5 Achim Flammenkamp
4 William Rex Marshall
4 Victor Adamchik
4 T
4 Stephen A. Silver
4 Several Versions Of This Sequence Have Been Published! A014404
4 Sergei V. Duzhin
4 Satisfying Gcd
4 Robin Trew
4 Philip Sung
4 Personal Communication
4 P
4 Nor How Rigorous The Results Are
4 No Others With N
4 New Description
4 N) =
4 Mark Weston
4 Jobst Heitzig
4 Jacques Haubrich
4 Iwan Jensen
4 It Is Conjectured That The Sequence Continues
4 Ignacio Larrosa Canestro
4 I Would Like To Get The Continued Fraction Expansion Of This Constant
4 I Am Not Certain This Description Is Correct
4 Frank Ruskey
4 Formula Corrected
4 Fabian Rothelius
4 Eric Rains
4 E.g.f
4 David Radcliffe
4 Daniele Parisse
4 Dan Hoey
4 Chris Nash
4 Bounded
4 Barry Brent
4 A053082 Are Correct
4 A053081
4 A053080
3 Washington Gives An Extensive Table On Pp. 353-360
3 Warren D. Smith
3 Two N-queens Solutions P
3 Such That
3 Stegun's Handbook Of Mathematical Functions
3 So A
3 Revised
3 Reference
3 Q Are Considered Similar Iff There Is A Factor F
3 Program
3 Peter Bertok
3 Paolo Dominici
3 Next Term Is Too Large To Include
3 N-1} Q
3 N-1}
3 Mike Oakes
3 Michael Steyer
3 Last Term Is
3 Joe Demaio
3 In This Sequence
3 G. L. Honaker
3 F * P
3 F
3 Etc
3 Eric Weisstein
3 Emeric Deutsch
3 Description
3 David G Radcliffe
3 D. H. Wiedemann
3 D. E. Knuth
3 Conjectured Maximum Is A
3 Christian Bower For Additional Comments
3 Brian L. Galebach
3 Asymptotics
3 Andrey Kulsha
3 Also Expansions Are Allowed Which Move The Queen At
3 Alex Healy
3 Ahmed Fares
3 A048987 Are The Preferred Versions Of This Sequence
3 A Reflection Or A Shift Of Such A Q. In Other Words
2 Zimmermann
2 Y
2 X^2 + Y^2
2 Who Remarks That There Are No Others
2 Who Remarks That A
2 Wells Is Incorrect
2 Walsh List First 25 Terms
2 Via That Sequence
2 Uk
2 Tim Irvin
2 This Is Reported To Be Wrong
2 This Extends Earlier Work Of Torsten Sillke
2 The Sequences As Given In The Hodge Paper Is Incorrect - Corrected
2 The Sequence Continues:
2 The Numbers Of Finite Groups Of Orders
2 The Next Two Terms Are At Least
2 The Next Term Has 166 Digits
2 The Definition
2 The 65th Term Is The First Negative Term
2 Taylor's Table Extends Through Degree
2 Table In Cohen Up To
2 Stephen G. Penrice
2 Starting With
2 Specifically
2 Shorter Description
2 Several Correspondents
2 Sergei Duzhin
2 Scott C. Lindhurst
2 Santi Spadaro
2 Ryan H. Richter
2 Ron Hardin
2 Roderick J. Fletcher
2 Rob Speer
2 Reflections
2 References
2 Reference Gives First 22 Terms
2 Reference Gives 45 Terms
2 Q Are Considered Equivalent Iff There Are Natural X
2 Q
2 Probably A
2 Paul Jobling
2 Others Have Extended This To Millions Of Digits Without Finding One
2 Or Q Is A Rotation Or A Reflection Of Such A Q. In Other Words
2 One Of The 24 Units. This Will Give Two More Sequences
2 Oliver King
2 No Prime Has Been Reached After 79 Steps
2 No Other Terms Below
2 Next Term Is Too Big To Include
2 Next Term Has 100 Characters
2 Mike Keith
2 Loren Merritt
2 Lekraj Beedassy
2 Last Term Has Index
2 Karen Richardson
2 Jordan D Culp
2 John Renze
2 Jeppe Stig Nielsen
2 James Kilfiger
2 Jack Brennen
2 Improved Description
2 If They Exist
2 If It Exists - Jud Mccranie
2 I Would Like To Get The Definition Of This Sequence! - Njas
2 I Would Also Like To Get The Sequences Of Inequivalent Prime Hurwitz Quaternions
2 I Believe A
2 I Am Not Sure Of The Precise Rules That Were Used To Compute These Numbers. A006494
2 However
2 Harri Haanpaa
2 Gunnar Brinkmann
2 Green
2 Graham Showed That Every Number >=78 Is Strict-sense Egyptian
2 Germany
2 George Russell
2 Gave The Correct Version Of This Sequence
2 G.f
2 Flajolet
2 Extended With Formula
2 Explanation
2 Error In Description Corrected
2 Ed Pegg Jr
2 Dww. A
2 Donald Manchester
2 Don Knuth
2 Derek Holt
2 D. J. Bernstein
2 Correction
2 Corrected Description
2 But This Is Incorrect
2 Bill Gosper For Comments
2 Better Descrption
2 Apparently Hunt Gives First 30 Terms
2 Andreas M. Hinz
2 And Robert G. Wilson V
2 Analogues Of A055670
2 Alternative Description
2 Allan R. Wilks
2 Alexander Hulpke
2 A_16 >
2 A055672
1 Zoran Maksimovic
1 Yannick Saouter
1 X.. ..x
1 X. X.. X.. X... X.x .x. .x. X
1 X. ..x
1 Www.mathpuzzle.com
1 Wright? Gruber
1 With 2^2^...^2
1 Wim Van Dam
1 Wilson's Search Was Complete Only Though A
1 Wilson Incorrectly Give A
1 William Rex Marshall )w R.marshall
1 Will Root
1 Who Reports That The Sequence Continues A
1 Who Reports That The Next Term Is Greater Than
1 Who Reports That The Next Term Is > 10^130
1 Who Reports That He
1 Who Reports No Other Terms Below Pi
1 Who Reports Next Term >3000
1 Who Remarks That This Term Is Given Incorrectly In "on Numbers
1 Who Remarks That There No Others Involving Terms
1 Who Remarks That There Are No More Terms Less Than
1 Who Remarks That The Sequence Probably Continues 19 2 46 3 11 22 41 2 12 22 3 2 12 86 2 7 13 11
1 Who Remarks That The Next Term Is > 4.6x10^18
1 Who Remarks That The Next Term Is > 2^32
1 Who Remarks That The Next Term Corresponds To An Entry In A032546 That Exceeds 2.4*10^11
1 Who Remarks That Sequence Stabilizes At 13th Term With A Prime
1 Who Remarks That It Is Known That The Sequence Is Infinite
1 Who Remarks That He Was Able To Extend The Sequence To The 104th Term 151115727453207491916143 Using The Bit-flip-limit
1 Who Remarks That Every Element Is Of Form N^2 Or N^2-1
1 Who Remarks That All Integers > 54 Are In The Sequence
1 Who Remarks That "i'll Tell You
1 Who Pointed Out Connection With A000112
1 Who Observes That For Terms
1 Who Has Searched Up To
1 Who Estimates That A
1 Who Also Observes That Layman's Recurrence Is Indeed True For All N >=
1 Which Supports Ellermann's Conjecture
1 Which Contains 9 Odd Integers
1 Which Contains 8 Odd Integers
1 Which Contains 7 Odd Integers
1 Which Contains 6 Odd Integers
1 Which Contains 5 Odd Integers
1 Which Contains 4 Odd Integers
1 Which Contains 3 Odd Integers
1 Which Contains 2 Odd Integers
1 Which Contains 10 Odd Integers
1 Where The Missing Terms
1 Where R
1 When 2.37843307942386e+57 2's Have Been Seen
1 What Is The Asymptotic Distribution Of These Numbers?
1 What About The 10-adic Square Roots Of -1
1 Wells Incorrectly Has 52 Instead Of
1 Wells Gives The 6th Term As
1 Wegener In His Book
1 Wegener Give 33439123484294 For The 8x8 Board. The Value Given Here Is Due To B. Mckay
1 Warning: There Are Some Erroneous Files On The Net That Claim To Give Large Numbers Of Digits Of The Decimal Expansion Of Pi. The Error Usually Occurs After The 15094-th Digit
1 Walter Nissen
1 Walter Hofmann
1 Walsh List First 26 Terms
1 W. Plesken
1 Vladimir Baltic
1 Victor S. Miller
1 Very Like A051920
1 Values For A_17 Through A_22 Are
1 Value For N=10
1 Valery A.liskovets
1 Using Yves Gallot's Proth.exe
1 Using Cor.
1 Using A. Booker's 'nth Prime Page'
1 Upper Bounds Are
1 Uni. Of Kiel
1 Undefined Past A
1 Typo In Description In 1995 Encyc. Int. Seqs. Corrected
1 Typo In Description Corrected
1 Two Permutations P
1 Two Necklaces Of Length N
1 Torus Shifts Are Allowed. The Sequence Contains The Objects Of A062164
1 Tony Davie
1 Tom\'as Oliveira E Silva
1 Todd Will
1 Tobias Nipkow
1 To Prove Completeness
1 Tito Piezas Iii
1 Though Sequence Is Believed To Be Infinite
1 Those With At Most 2 Contain The Normal N Queen Solutions
1 This Was Changed To
1 This Sequence Has 283086 Terms
1 This Sequence Counts Classes Of "near N-queens Solutions". Permutations With At Most 1 Queen On Any Torus Diagonal Are Exactly The Torus N Queen Solutions
1 This Description Is Not Clear To Me - Njas
1 This
1 They're Too Large To Fit
1 They May Be Called "near N-queens Solutions". In This Sequence
1 These Of A007705
1 These Of A002562
1 Therese Biedl
1 There's An Error In The Last Column Of Riordan's Table
1 There Was An Error In The Last Term
1 There Is No Further Term Below
1 There Is An Error In Fig. M3860 In The 1995 Encyclopedia Of Integer Sequences: In The Third Line
1 There Is An Error In Eq
1 There Is A Typo At The N=6 Term In The Printed Version Of The Paper
1 There Are Precisely 1023 Terms
1 There Are No Others Up To 7.9*10^12
1 There Are No Others Up To 1.6*10^13
1 There Are No Others Up To 1.2*10^14
1 There Are No Others Less Than 1.5*10^13
1 There Are No Other Terms
1 There Are No More Prime Powers In The List
1 There Are 87 Of These
1 There Are 75 Terms Up To 10^19
1 The Version In The Encyclopedia Of Integer Sequences Had 1 Instead Of 2 At N=9
1 The Version In The Encyclopedia Of Integer Sequences Had 1 Instead Of 2 At N=13
1 The Version In The Encyclopedia Of Integer Sequences Had 1 Instead Of 2 At N=11
1 The Values Given O'keeffe Are Incorrect
1 The Two Polyknights With 2 Cells:
1 The Third Term Of The Sixth Row Is
1 The Terms
1 The Term After The Leading Nonzero Term Eventually Becomes Negative
1 The Table In Borevich
1 The Size Of Elements In This Sequence Clearly Prohibits An Exhaustive Search
1 The Sequence Used To Contain
1 The Sequence Reduces Exactly The Objects Of A000029
1 The Sequence Must Be Regarded With Suspicion
1 The Sequence Ends At 35: N
1 The Sequence Continues ?
1 The Sequence Also Contains
1 The Second Prime Gap Of 4 Is At 13 To
1 The Second 2 Should Be An Exponent
1 The Reference. 4 More Terms
1 The Reference Gives Upper Bounds For N = 11 ...
1 The Reference Gives A
1 The Reference Also Gives 121 = 11^2
1 The Psam Reference Gives A Table Through P =
1 The Prime A
1 The Paradox Is Of Course: Is 53169 In This Sequence?
1 The Paper Gives An Extensive Table
1 The Old Value For A
1 The Numbers Shown Are Conjectured To Comprise The Complete List. It Is Known That There Is At Most One Further Number
1 The Next Two Terms Are Too Large To Include Here. See A064119
1 The Next Two Terms Are 171!-397
1 The Next Two Terms Are 171!+397
1 The Next Two Terms Are 171!
1 The Next Terms Satisfy A
1 The Next Terms Are R
1 The Next Terms Are Probably
1 The Next Term Is Too Large To Display
1 The Next Term Is Only Known To Be In The Range 256-340
1 The Next Term Is Known
1 The Next Term Is In The Range 2720-3276
1 The Next Term Is Conjectured To Be
1 The Next Term Is >2^65536
1 The Next Term Is 9.69956295034023667235191839... *10^475
1 The Next Term Is 2^2186*3^255
1 The Next Term If It Exists Is > 32452843 = 2000000-th Prime. Can Someone Prove This Sequence Is Finite
1 The Next Term Has Been Claimed To Be
1 The Next Term Has An A032577 Value > 2.4*10^11
1 The Next Term Has An A032569 Value > 2.4*10^11
1 The Next Term Has An A032565 Value > 2.4*10^11
1 The Next Term Has An A032559 Value > 2.4*10^11
1 The Next Term Has An A032555 Term > 2.4*10^11
1 The Next Term Has An A032551 Value > 2.4*10^11
1 The Next Term Has An A032549 Value > 2.4*10^11
1 The Next Term
1 The Next Entry
1 The N=15 Term Was Formerly Incorrectly Given As
1 The Murthy Paper
1 The Lower Subscript Should Be 1 Not
1 The Last Being 987654103 - Jud Mccranie
1 The Last Being
1 The Initial 2 Should Really Be A 1. See A011260 For Official Version
1 The Formula Given In The Rivin Et Al. Paper Is Wrong
1 The Formula For A000031 = M0564 Should Be
1 The First Negative Term Is The 70th
1 The First Negative Term Is The 66th
1 The First 300 Terms Are Primes - Robert G. Wilson V
1 The Final Terms Are A
1 The Errata
1 The Erdos-frankl-furedi Paper That A
1 The Entry 40315 Given In Guy
1 The Entries Continue: 3 Or
1 The Description Can't Be Correct - Compare A040159 - Njas
1 The Correct Values Are A
1 The Continued-fraction Expansion Of This Number
1 The Collatz Trajectory Of 9 Is
1 The Collatz Trajectory Of 7 Is
1 The Collatz Trajectory Of 5 Is
1 The Collatz Trajectory Of 43 Is
1 The Collatz Trajectory Of 33 Is
1 The Collatz Trajectory Of 3 Is
1 The Collatz Trajectory Of 25 Is
1 The Collatz Trajectory Of 17 Is
1 The Collatz Trajectory Of 11 Is
1 The Classical Mass Formula Shows That The Next Term Is At Least 8*10^7
1 The C's - Njas
1 The Bronson-buell Reference Gives Terms Through 227. The Math. Comp. Version Is Erroneous
1 The Bronson-buell Reference Gives Terms Through
1 The Author
1 The Article Gives An Incorrect Value For A
1 The 8 Polyknights With 3 Cells:
1 The 49th Term Is The First Negative Term
1 The 23rd Term Is A Prime Of 122 Digits
1 The
1 That A
1 Th.
1 Terms For N=15
1 Terms Are Exact For N
1 Terms A
1 Terms
1 Term A
1 Ted Alper
1 Team Of Rachel Lewis
1 Team Of Giovanni La Barbera
1 T. Sommars
1 T. Schulz
1 Szymanski
1 Sylviane R. Schwer
1 Sykes Et Al. Give 6 More Terms
1 Sykes Et Al. Give 34 Terms
1 Sykes Et Al. Give 2 More Terms
1 Sykes
1 Suranyi
1 Supplied A Better Description
1 Subbaro Give An Extensive Table
1 Steven L. Harvey
1 Stated Incorrectly In Crc Standard Mathematical Tables
1 Stan Wagon
1 Sridar K. Pootheri
1 Someone Said 166 Should Be
1 Some People Begin This
1 Some Numbers Were Omitted - Thanks To Erich Friedman
1 So The Sequence May Be Wrong
1 So The Corresponding Twin Primes
1 So 1321 Is A Term
1 Since The Conjecture Is Unproved
1 Since The Champernowne Term At That Position Has Yet To Be Calculated
1 Since S > 8n
1 Since If 10^k
1 Since Every Term Except 0 Corresponds To A Nonempty Subset Of {1
1 Simpler Formula
1 Silvia Heubach
1 Signs Added
1 Should Be Rechecked
1 Sharon Sela
1 Shafarevich Extends To
1 Sequence Is Finite
1 Sequence Is Believed To Be Infinite
1 Sequence Has 512 Terms
1 Sequence Contains Exactly 254 Terms
1 Sept 29
1 Sebastien Veigneau
1 Scott Rickard
1 Sarah Gilchrist
1 Samuel P. Hoyle
1 Same As A058201 Except For Final Term. I Don't Know Which Version Is Correct! - Njas
1 S. Sommars
1 S) =
1 Russ Cox Conjectures That X_1 Xor ... Xor X_n Is Always A Worst F
1 Roubaud Quotes The Number
1 Rotations
1 Rotates
1 Ron Read
1 Ron Knott
1 Roger Cuculiere
1 Robinson Lists First 27 Terms
1 Robinson
1 Robert P. Munafo
1 Robert Newstedt
1 Robert Aldred
1 Robbins Incorrectly Gives A
1 Richard Borcherds
1 Reto Keiser
1 Remarks That This Sequence Is Probably Complete
1 Reinhard Zumkeller
1 Reference Needed To Literature
1 Reference Gives Table Up To
1 Reference Gives An Extensive Table
1 Reference Gives 31 Terms
1 Reference Gives 20 Terms
1 Ref 9/95. Formula
1 Recently Re-run
1 Reaches
1 Rachel Lewis
1 R.day
1 R. L. Graham Showed That A
1 R
1 Queneau Left Out
1 Purdy Incorrectly Says
1 Proof Of Conjecture
1 Program Added
1 Probably This Is An Incorrect Version Of A047995 - Njas
1 Probably Finite. Next Term >
1 Probably An Incorrect Version Of A002326
1 Probably An Erroneous Version Of A031436
1 Probably An Erroneous Version Of A001353
1 Probably 58 Is Last Term
1 Probably 55 Is The Last Term
1 Probabilistic Arguments Give Exactly Zero For The Chance That The Sequence Of Integers Starting At N Contains No Prime
1 Possibly There Are No Further Terms
1 Possibly The Same As A004048?
1 Please Let Me Know!
1 Pierre Genix
1 Pi2
1 Philippe Flajolet
1 Philip Newton
1 Permutations P
1 Perhaps A Finite Sequence?
1 Perhaps 167761 Is The Last Term?
1 Per-Hakan Lundow
1 Paul Zimmermann Points Out That The Second Term Was Incorrectly Given As 2 In The Encyclopedia Of Integer Sequences
1 Paul Zimmermann For Comments
1 Pat Weidhaas
1 Pari Program
1 Pari Formula
1 Pargas Is Wrong. A Simulated Annealing-based Program I Wrote Found Several Complete Coverages Of A 15x15 Board With 36 Knights
1 Paper Gives A Table For N
1 Palmer Give Incorrect Values For A
1 P=1
1 P. Zimmermann
1 P.
1 P Zimmermann
1 Otherwise The Best Known
1 Otherwise A033188
1 Others For Helping Fill 3 Lines - Njas
1 Others Conjecture That A
1 Others Begin It
1 Oswin Aichholzer
1 One Would Have To Prove That There Is No Triangular Number Consisting Of A
1 One Of Which I Have Posted At On The Web
1 One More Term Is Known - See A006794
1 One More Term
1 One More Mersenne Primes Has Been Discovered
1 On Numbers
1 On
1 Olivier Gerard. First Negative Term Is 35th
1 Offset Is Correct!
1 Offset Corrected
1 Offset
1 Occasionally Defined With A
1 Obviously Can Contain At Most 10 Terms
1 Observes That This Sequence Is Now Complete
1 O'keeffe Are Incorrect
1 Notes That All The New Terms Are -1 Mod
1 Note That Read
1 Nombres De Lettres Des Nombres Ordinaux En Francais
1 Noam Katz
1 Noam D. Elkies
1 No Zeros Known After A
1 No Others In First
1 No Others For N
1 No Others Below 10954981 - Eric M. Rains
1 No Others Below 100000. Conjectured To Be Complete
1 No Others Below 10000 - Vladeta Jovovic
1 No Other Values Of N^
1 No Other Values Of N
1 No Other Terms Through L
1 No Other Terms Less Than 40000000 - Paul Jobling
1 No Other Terms In First 200000 Terms Of A046895
1 No Other Terms Below 33*10^16
1 No Other Solutions Found For N
1 No Other Primes For 2n
1 No Other Elements
1 No More Terms Up To 10^9 - David W. Wilson
1 No More Terms For N Up To
1 No More Terms
1 No More Primorials Below A002110
1 No Further Terms With N
1 No Further Examples Found To 10^8
1 Njas. Latt
1 Njas 6/13/98. I Believe A
1 Njas #153
1 Niklas Eriksen
1 Nicholas Glover On
1 Next Value >1 Is A
1 Next Two Numbers Have
1 Next Term Of Sequence Exceeds
1 Next Term Known To Be > 4*10^8
1 Next Term Is Very Large
1 Next Term Is Known To Be >=
1 Next Term Is At Least 3*10^7. 666 May Be The Last Term. - Naohiro Nomoto
1 Next Term Is At Least
1 Next Term Is >=27
1 Next Term Is > 90000000000 - Larry Reeves
1 Next Term Is 7_{0}^48_666_{0}^48_7
1 Next Term Is 773+2^955
1 Next Term Is 4 Or
1 Next Term Is 2^
1 Next Term Is 2 Or
1 Next Term Is 19 Or
1 Next Term Is 15 Or
1 Next Term Is 144 Digits Long
1 Next Term Is 123 Digits Long
1 Next Term Is
1 Next Term If It Exists Is Greater Than 4 * 10^7 - Michel Ten Voorde
1 Next Term If It Exists Is Greater Than 1500000 - Reiner Martin
1 Next Term If It Exists Is Greater Than 10^8
1 Next Term If It Exists Is Greater Than
1 Next Term If It Exists Is Bigger Than 9*10^7 - Michel Ten Voorde
1 Next Term If It Exists Is >= 5*10^7 - Naohiro Nomoto
1 Next Term If It Exists Is > 2*10^6. - Michel Ten Voorde
1 Next Term Has More Than 3000 Decimal Digits
1 Next Term Has A Non-decimal Digit
1 Next Term Has 665 Digits
1 Next Term Has 620 Decimal Digits. - Olivier Gerard
1 Next Term Has 149 Decimal Digits
1 Next Term Exceeds 170000 - Jud Mccranie
1 Next Term > 2^105 - Larry Reeves
1 Next Term >
1 Next Term = 2^4171780 - 2^2096640 - 2^2095104 - 2^2094593 - 2^2094080 - 3.2^2091522 - 2^2088960 - 2^2088705 - 2^2088448 - 2^2088193 - 2^2086912 - 2^2086657 - 2^2086401 - 2^2086145 - 2^2085888 - 2^2079234 + 2^1960962 +
1 Next Term =
1 Next Entry Is In Range 40-43
1 Next Entry Is In Range 35-41
1 Next 3 Terms Are Known To Be In The Range 112-117
1 Next 2 Terms Are In Range 40-48
1 New Ref
1 New Name
1 N=8 Term Corrected
1 N=7517 Also Produces A Prime
1 N=21 Is The First Open Case - It's Either 8 Or
1 N=21 Is The First Open Case - It's Either 7 Or
1 N=16
1 N=14 Is First Open Case. A
1 N=12 Term Corrected
1 N. J. A. Sloane
1 N-1} To N
1 N) = 1} On The Set Of Two-colored Necklaces Where F Maps C To D With The Formula Above
1 N > 8^8 At This Point
1 Much Less Is Known About The Three-dimensional Problem
1 Moss
1 More Terms From
1 More References Needed! Hardy
1 Mollin Gives A Table For N
1 Missing Right Paren In Description Corrected
1 Mirrors Permutations. Terms For N=13..29 Computed With A Java Program Implementing The Formulae
1 Milbourne" Actually Comes Between
1 Mike Domaratzki
1 Michelle Vella
1 Michel Drouzy
1 Michail Kats
1 Michael Somos Checked To 99999. Probably There Are No More Terms
1 Michael Keller
1 Michael Esposito
1 Michael Bulmer
1 Michael Baake
1 Megan Wawro
1 May Be Incomplete
1 Maximum Is A
1 Masanobu Kaneko
1 Mark Dickinson
1 Mario Szegedy
1 Marcel Martin
1 Manuel Valdivia Prades
1 M4930=a005556 Were The Same Sequence
1 M4929=a005587
1 M3842=a005555 Were The Same Sequence
1 M3841=a005586
1 M. D. Mcilroy
1 Lyle Ramshaw
1 Lukas Finschi
1 Lucas On P. 498 Is Slightly In Error - See Maple Program Given Here
1 Lower Bounds For The Next 4 Terms Are
1 Loria.fr!paul.zimmermann
1 Loebbing
1 Lior Manot
1 Links Revised To Here
1 Leonid Broukhis
1 Leonid A. Broukhis
1 Lekkerkerker?
1 Lehmer Gave The Incorrect Value 455052512 For The 10th Term. More Terms 5/96. Jud Mccranie
1 Lee Corbin
1 Leah Frazee
1 Later Terms
1 Last Term Corrected
1 Last Line Of Sorted Sequences
1 Last 2 Terms Computed In O
1 L. Vuillon
1 Kristen Bollmeier
1 Ken Davis
1 Keith Lloyd
1 Keiko L. Noble
1 Karol A. Penson
1 Julian Richardson
1 Judson Mccranie
1 Jud Mccranie Reports That He Finds That This Seqience Should Be
1 Jud Mccranie Points Out That The Entry 40311 Given In Guy
1 Jovovic Vladeta
1 Joshua Zucker
1 Johnson
1 John Van Rosendale In
1 John Danaher
1 Joe Keane For Clarifying The Connection With A006600
1 Joanna S. Bartlett
1 Joan Serra-Sagrista
1 Jim Buddenhagen
1 Jeremy Magland
1 Jennifer Meyer
1 Jennifer D. Secor
1 Jenise Smalley
1 Jeffrey Shallit Showed That 90 Is The Last Term
1 Jean-marc Deshouillers
1 Jan 19
1 James W. Scheid
1 James Van Buskirk Without Finding Any More Terms
1 Iwan Jensen. Verified
1 It Is Not Possible For N Ever Again To Catch Up With The Sum
1 It Is Not Known Whether 130 Is The Largest Such Number Or If This Is The Start Of An Infinite Serices
1 It Is Likely That The Tenth Term Is
1 It Is Conjectured That There Is An Infinite Number Of Such Pairs Of Triangles
1 It Is Conjectured That There Are Only 5 Terms - Certainly 2^
1 It Can Be Established That 19683=
1 It Can Be Established That 1679616= 36^4 Is The Largest Such Number
1 It Becomes A Cyclic Sequence Whose Period Is
1 Israel
1 Is This Triangle In The Database? - Njas
1 Is This The Same As A063547? - Michael Somos
1 Is This The Same As A001764? - Michael Somos
1 Is In Range 63-73
1 Is In Range 55-62
1 Is In Range 12-16
1 Is 25 Or
1 Initial Terms Corrected
1 Initial Term Modified
1 Independently
1 Incorrect Version Of A053080
1 In The Formula Given In The 1995 Encyclopedia Of Integer Sequences
1 In The Encyclopedia Of Integer Sequences This Lattice Was Incorrectly Described As The Laminated Lattice Lambda_18
1 In The Encyclopedia Of Integer Sequences The N=6 Term Is Given Incorrectly As
1 In Dimensions 25-32 The Highest Kissing Numbers Presently Known For Laminated Lattices Are
1 In Any Case B Is Not Known Sufficiently Accurately To Compute It
1 If You Accept "viginitillion" As A Name For 10^63 Then There Are More Terms
1 If This Is An Integer Then N
1 If They Exist. - Naohiro Nomoto
1 If Anyone Can Identify This
1 If A033189
1 I.e. F
1 I.e.
1 I. Gambini
1 I Would Like To Get Maple Code For This Sequence - Njas
1 I Would Like To Get Maple Code For This - Njas
1 I Would Like To Also Get The Sequence Of Numerators
1 I Would Also Like To Get The Sequences
1 I Would Also Like To Get The Sequence Of Norms Of Primes In The Ring Z
1 I Would Also Like To Get The Decimal
1 I Would Also Like To Get The Associated Sequences Of The B's
1 I Suspect There Are Other Sequences In This Reference That Could Be Added - Njas
1 I Need More Information About This Sequence! - Njas
1 I Have Only Given This To The Point Where The Continued Fractions For
1 I Don't Know The Number Of Discriminants In This Sequnce But I'm Currently Computing It
1 I Don't Know If This Can Be Modified To Give More Terms Of Agreement - Njas
1 I Conjecture A
1 I Believe This Is An Incorrect Version Of A001413
1 Hugo Van Der Sanden: Program Terminates At N = 2.94239143846251e+56
1 How Is This Defined If The Optimal Configuration Is Not Unique? - Njas
1 Higher Terms: A
1 Herman Te Riele
1 He Used A Program Which Shifts
1 Have Shown That A
1 Has Extended This Sequence
1 Has Been Corrected
1 Harvey Dubner
1 Hardy
1 Harary Gives An Incorrect Value For A
1 Harary
1 Hannes Krasser
1 Hand
1 Haifa
1 H.-u. Besche
1 Guy Lists 100 Terms
1 Guy Gives A Table Up To
1 Guenter M. Ziegler
1 Gregory D Johnson
1 Greg Kuperberg
1 Gordon Royle
1 Giovanni La Barbera
1 Gerton Lunter
1 Generating Function
1 Gcd
1 Gaunt Et Al. Give 8 More Terms
1 Gaps That Need Filling:
1 Games" Incorrectly States That The Next Term Is 2^4171780 - 2^2095104 - 3*2^2094593 - 2^2094081 - 3*2^2091522 - 2^2088960 - 3*2^2088448 - 2^2087937 - 2^2086912 - 2^2086657 - 2^2086401 - 2^2086145 - 2^2085888 - 2^2079234 + 2^1960962 +
1 Games
1 G. N. Gusev
1 Further Mersenne Primes Are Known
1 Further Examples Are Given In The Reference
1 Full? - Olivier Gerard
1 Full
1 Fred W Helenius Fredh
1 Frank Ellemann
1 Fouad Ibn Majdoub Hassani
1 Formula For A
1 For N >= 7 Lower Bounds Are
1 For N >=
1 For More Terms See A002253
1 For K_18 1.52 X 10^63. - Dinitz Et Al
1 For K_16 1.48 X 10^44
1 For K_12 The Answer Is Approx 9.8 X 10^28
1 For Example A
1 First One That Can Be Expressed In Two Ways: 77976 = 228^3+1824^3 = 1026^3+1710^3 - Jud Mccranie
1 First 4 Values Appear Incorrectly In Cited Refs
1 Felix Goldberg
1 Faron Moller
1 F. Xavier Noria
1 Extended Through A
1 Expanded
1 Example Corrected
1 Example
1 Eugene Mcdonnell
1 Etc. Then A
1 Essentially Same As A002886
1 Essentially Same As A002415
1 Error In Term 25 Corrected
1 Error In N=8 Term Corrected
1 Error In Formula Line Corrected
1 Error In 4th Term
1 Erroneous Versions Have Been Published
1 Erdos
1 Entry In Book
1 Edited
1 E. Keith Lloyd
1 E.
1 E
1 Dww Reports A
1 Dww Points Out That The Published Beginning Is Incorrect
1 Dww Points Out That 30 Was Missing
1 Dww Has Supplied Terms A
1 Dww 5/97. Extended To Terms A
1 Dww . A
1 Dug Eichelberger
1 Douglas R Burke
1 Don Robinson Have Checked This Sequence Through About 63000 Digits Without Finding Another Term
1 Don Robinson
1 Don Gray
1 Does This Sequence Only Contain 10's
1 Does There Exist A Solution For Every Prime P?
1 Digits 19 Through 3075. It Is 846264338327950288419716939937510582097494459230781640628620899862803482534211 ... 708303906979207 - Mark R. Diamond
1 Dieter
1 Description Expanded
1 Description Corrected May 1997 - Thanks To Jean-francois Beraud
1 Des Machale
1 Dennis P. Walsh
1 Dek Added
1 Definition
1 De Geest's Web Site Has Many More Terms
1 David Wison
1 David Savitt
1 David Perkinson
1 David Bloom
1 David Bernier
1 David Applegate
1 Dave Rusin
1 Date:
1 Darko Marinov
1 Daniele Degiorgi
1 Daniel Loeb
1 Dan Velleman
1 Dan Fux
1 D
1 Cyril Banderier
1 Corrected Version Of A006550
1 Corrected Version Of A002070
1 Corrected Values For A
1 Corrected Using A000491
1 Corrected In 2nd Printing
1 Corrected Formula
1 Corrected A Large Number Of Errors 4/15/96. I'm Not Sure How Rigorous This Is - To Prove That
1 Cor. 6.2.5 Of Brualdi-ryser
1 Convention
1 Continued Fraction Expansions Of The Number Sum_{k=1..inf} D
1 Containing 101 Digits
1 Constructing The Pair
1 Consider That K^m Contains More Than M Digits For Every K >=
1 Conjectured To Be Complete
1 Computing
1 Computed With Meissel-lehmer-legendre Inclusion Exclusion Formula Code He Wrote Back In
1 Computed 10^15 Terms Of This Sequence. At This Point The Smallest Missing Number Is
1 Complete Up To 2^64 =
1 Com
1 Color Functions C
1 Colin B Martin
1 Clive J Tooth
1 Claude Lenormand
1 Christof Noebauer Also Reports That The Sequence Continues A
1 Christof Noebauer
1 Christian Krattenthaler
1 Christian Bau
1 Chris Thompson
1 Chris Stretch
1 Checked Up To F
1 Checked Up To 1000000 But Haven't Found Any Other Values
1 Checked To Over 10^8
1 Checked To
1 Checked All A
1 Charles K. Layman
1 Changed Beginning
1 Cf. A049639
1 Cf. A031441
1 Cf. A019548
1 Casey Mongoven
1 Carrie Westbrook
1 C=0
1 C. Muses
1 But This Is False
1 But This Is An Error
1 But They Are Not Necessarily The /next/ Mersenne Primes
1 But There May Be Missing Terms
1 But There Are No Futher Terms
1 But There Are At Least 20 Larger Ones
1 But The Range Above 3785000 Has Not Been Fully Searched
1 But The Range Above 10^8 Has Not Been Exhaustively Searched
1 But The Corresponding Queneau-daniel Permutation Is Only Of Order 47 =
1 But Patrick De Geest
1 But Not Certain
1 But Missed 120 =
1 But I See No Hope Of Proving That. If There Are Any More Terms
1 But Here's A Larger One: 948990933336933380096. - Dean Hickerson
1 But Here's A Larger One:
1 But Are All Those Probable Primes Prime?
1 Brute Force Search I Know That A_4 >
1 Bruce G. Stewart
1 Brendan Owen
1 Brendan Mckay Pointed Out That The Last Entry Was Given Incorrectly
1 Branislav Kisacanin
1 Beyond
1 Between
1 Better Name
1 Better G.f
1 Besides Rotations
1 Berend Jan Van Der Zwaag
1 Benoit Cloitre
1 Bender Et Al. Give 20 Terms
1 Ben Baugher
1 Below 4194304 A Computer Test Shows These Values Did Not Occur As X=a*d
1 Believed To Be Finite
1 Beginning Same As A003811
1 Beginning Same As A003804
1 Becomes A Cyclic Sequence Whose Period Is 4793. If A=1
1 Because We Have Solutions {1+2+3
1 Based On The Prime Patterns Conjecture
1 Bacher's Paper
1 B=1
1 Aviezri Fraenkel
1 Aug
1 At Rgw's Suggestion
1 At 10087-th Term
1 As Well As The Sequence Of Norms Of Prime Ideals In That Ring
1 As Doron Zeilberger Pointed Out
1 As A062167
1 Are There Infinitely Many Perfectly Partitioned Numbers? Does There Exist Some N For Which P
1 Are > 10^11. The Large Terms For
1 Apparently Two More Terms Are Known
1 Apostol Gives All Values Of N
1 Any Number Of 0's
1 Antony M. Goddard
1 Anton Betten
1 Andrew Walker
1 Andrew Lipson
1 Andreas Boerner
1 Andre Engels
1 And Verified Completeness Up To A
1 And That A
1 And So For Large N The Extremal Codes Do Not Exist
1 And Probably The List Shown Is Complete
1 And One Of The Trees). So The Sequence Starts
1 And Njas
1 And Jud Mccranie
1 And For Verifying A
1 And Enoch Haga
1 And Check
1 And Asks If They Are The Same Sequence
1 Ami Fischman
1 Ambiguous Or Ill-defined Beyond This Term
1 Amarnath Murthy
1 Amalgamated With
1 Although There Are No Other Terms
1 Alternate Description
1 Also Torus Shifts Are Allowed. The Sequence Reduces The Objects Of A002562
1 Also This Sequence Counts Classes Of "near N-queens Solutions". In This Sequence
1 Also Rooted Trees With N Nodes
1 Also Rooted Identity Trees With N Nodes
1 Also More Terms!
1 Almost Certainly This Sequence Contains Precisely 267 Terms. The Last 3 Entries Are:
1 Almost Certainly Finite
1 Albert Rich
1 After Last Term
1 Additional Terms
1 Additional References
1 Additional Reference
1 Additional Formulae
1 Added One More Term
1 Added 6/95: The Last
1 Aaron Siegel
1 A_23 >
1 A064228
1 A061341
1 A055029) Giving The Number Of Inequivalent Primes Mod Units. Of Course Now There Are Infinitely Many Units
1 A036971
1 A033188
1 A007705 To A053994a For Torus Queens
1 A006529
1 A000170. Note That The Equivalence Classes Of This Sequence Are A Subset Of A062168
1 A000081
1 A000061 Needs To Be Extended In Order To Determine The Next Term Here
1 A. P.street
1 A. E. Brouwer
1 A Special Case Of A Bound On D
1 A Solution For Torus Queens Remains Always A Solution After A Shift While A Normal Queens Solutions Does So Only Sometimes. Note That The Equivalence Classes Of This Sequence Are A Subset Of A006841. Moreover They Are A Subset Of A062167
1 A Number Of Contributors
1 A Japanese Puzzlist Named Taro
1 A Few Particular Solutions Are Known For K = 4: 651^4 = 240^4 + 340^4 + 430^4 + 599^4
1 A Divergent Sequence - John Conway
1 A Correspondent Reported Two Further Terms
1 .x .x. ... .x.. .x. ..x X.. .x
1 ..x X
1 ... In About 4000 Steps
1 ... ? - Njas
1 ... . The Smallest One Is 353^4 = 30^4 + 120^4 + 272^4 + 315^4
1 .. ... .x. ...x
1 .. ... ..x .... ... X.. ..x ...x
1 -i
1 -3
1 -2
1 '27045226' Was Found In Collaboration With Martin Eibl
1 & A
1
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