Happy New Eban!

Alexandre Wajnberg alexandre.wajnberg at skynet.be
Tue Dec 27 03:27:04 CET 2005



May we also add Seq A002006?

ID Number: A002006 (Formerly M2137 and N0849)
URL:       http://www.research.att.com/projects/OEIS?Anum=A002006
Sequence:  2,24,272,3424,46720,676608,10251520,160900608
Name:      Almost trivalent maps.
Offset:    0
Author(s): njas



> De : Marc LeBrun <mlb at fxpt.com>
> Date : Mon, 26 Dec 2005 13:16:07 -0800
> À : Sequence Fanatics <seqfan at ext.jussieu.fr>, Math Fun
> <math-fun at mailman.xmission.com>
> Objet : Happy New Eban!
> 
> Here's a traditional holiday sampling of factoids about 2006 gleaned from
> the On-Line Encyclopedia of Integer Sequences:
> 
> Among other things, 2006 is the...
> 
> A022664  coefficient of x^14 in Product (1-n*x^n)^4.
> 
> A030015  9th element in the binomial transform of
> 1,2,3,5,7,11,13,17,19,23,....
> 
> A035939  number of partitions of 38 into parts not of the form 7k, 7k+3 or
> 7k-3.
>           (Also number of partitions with at most 2 parts of size 1 and
> differences
>           between parts at distance 2 are greater than 1.)
> 
> A066967  total of the odd parts in all partitions of 16.
> 
> A078392  sum of the GCDs of each partition of 25.
> 
> A080149  number for which both 2006^2+1 and 2006^2+3 are prime.
>           (Hardy and Littlewood conjectured that the set of such twin
> primes is infinite.)
> 
> A085945  number of subsets of {1,2,3,4,5,6,7,8,9,10,11} with relatively
> prime elements.
> 
> A102628  number of partitions of 27 whose number of parts is relatively
> prime to 27.
> 
> A006933  the 23rd "eban" number (names in English containing the letter "e"
> are banned).
>           (The next "eban year" won't be until 2030.)
> 
> 
> 








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