[seqfan] Re: A178841 and A152537 are almost the same - why?

[Neil Sloane]

I did not look up the definition of A178841, but I did a bit of editing
there.  The
generating function is almost identical to that of A152537, so it is not
surprising that the sequences are very similar.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Sat, Mar 23, 2019 at 1:50 PM Georg.Fischer <georg.fischer at t-online.de>
wrote:

> Hi Seqfans,
>
> the 1000 terms in the b-files of
>
> A178841 The number of pure inverting compositions of n.
>          nonn,more,changed, Aaron Lauve (lauve(AT)math.luc.edu),
>          Jun 17 2010
> A152537 Convolution sequence: convolved with A000041 =
>          powers of 2, (A000079).
>          nonn, _Gary W. Adamson_, Dec 06 2008
>
> are almost the same, though the sequences do not refer
> to each other. The differences occur in rare pairs (with
> increasing distance) where A178841(n + 1) = A152537(n) + 1.
>
> You see them in the lines with vertical bars in
> <http://teherba.org/OEIS-mat/coincidence/work/1543.diff.txt>
>
> Maybe the coincidence (and the difference) is easy to
> explain, but I cannot.
>
> BTW, the "more" keyword of A178841 might be removed.
>
> Best regards - Georg
>
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