# [seqfan] Re: Sequence with a strange for OEIS conjecture

David Newman davidsnewman at gmail.com
Tue Sep 27 17:41:41 CEST 2011

```Can someone please tell me the definition of the function C in A174531?  I
don't see that it is defined anywhere.

On Tue, Sep 27, 2011 at 10:54 AM, D. S. McNeil <dsm054 at gmail.com> wrote:

> > A year ago, I introduced into OEIS sequence A174531, defined by a
> recursion, with a strange for OEIS conjecture:  all terms of this sequence
> are integers.  I wonder
> > 1) whether exist other sequences in OEIS with such a strange for OEIS
> conjecture?
>
> One reason it's a little unusual is because in general sequences that
> aren't known to be integral are disfavoured.  (Yes, there are a fair
> number of exceptions, and we can always rescue them by the usual "or
> some-number-if-not-integral" or "integral terms generated by.."
> tricks, but still.)
>
> > 2) Can anyone  suggest a program for the calculation ? (the existing 42
> calculated terms I found by handy).
>
> I'm not sure about the last few of your terms: I find
>
> [1, 1, 3, 4, 2, 4, 5, 25, 32, 3, 19, 32, 7, 77, 294, 384, 4, 52, 240,
> 384, 9, 174, 1323, 4614, 6144, 5, 110, 967, 3934, 6144, 11, 330, 4169,
> 27258, 90992, 122880, 6, 200, 2842, 21040, 79832, 122880]
>
> but you have
>
> [1, 1, 3, 4, 2, 4, 5, 25, 32, 3, 19, 32, 7, 77, 294, 384, 4, 52, 240,
> 384, 9, 174, 1323, 4614, 6144, 5, 110, 967, 3934, 6144, 11, 330, 4169,
> 27258, 90992, 122880, 6, 200, 3342, 22540, 81332, 123380]
>
> I'm not totally sure of mine, or I'd make the correction.  Anyone
> confirm?  BTW, adding a brief explanation of the motivation for the
> polynomials might be a good idea..  Right now it seems like they fell
> out of the sky.
>
>
> Doug
>
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```