[seqfan] {Spam?} A089105 & A089825

[Don Reble]

> %I A089105
> %S 2,3,5,6,7,10,11,12,13,14,15,17
> %N Values taken by least witness function W(n).
> %C 19, 22, 23, 26, 29, 31, 34, 37, 38, 41, 43, 46, and 47 are in this
>    sequence.

    It has  because of
    ------  ----------
    18      565491872244422701441
    20      76786041519852770748961
    21      1747624437573692208710761
    24      79962397898771029747829041

    Alas, those are merely upper-bounds of the A089825 values.

> %C Is this a duplicate of A007916?

    It does seem to be converging (:-)) to there. I had wondered whether
    it's a subset of A138302, but 24 refutes that.


> %I A089825
> %S 9,2047,1373653,134670080641,25326001,307768373641,3215031751,
> %T 1502401849747176241,2152302898747,1478868544880821,3474749660383,
> %U 4498414682539051,341550071728321
> %N Smallest n such that the least witness function W(n) = m, as m runs
>    through the values in A089105.

    The value for 15 is missing, and there are no gaps at the unknowns.

 2 9
 3 2047
 5 1373653
 6 134670080641
 7 25326001
10 307768373641
11 3215031751
12 1502401849747176241
13 2152302898747
14 1478868544880821
15 3034679039109989281
17 3474749660383
18 ?
19 4498414682539051
20 ?
21 ?
22 16043083915816662841
23 341550071728321

-- 
Don Reble  djr at nk.ca


-- 
This message has been scanned for viruses and
dangerous content by MailScanner, and is
believed to be clean.