[seqfan] Re: {Spam?} A089105 & A089825

Charles Greathouse charles.greathouse at case.edu
Wed May 28 00:28:08 CEST 2014


So the sequences are the same up to a(20) = 26, and the next term in
question is 28. I added the known terms to the sequence (should I credit
Don?).

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Tue, May 27, 2014 at 2:11 AM, Don Reble <djr at nk.ca> wrote:

>  %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
>
>
> --
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