cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A036000 Number of partitions in parts not of the form 25k, 25k+1 or 25k-1. Also number of partitions with no part of size 1 and differences between parts at distance 11 are greater than 1.

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%I A036000 #8 May 10 2018 03:31:15
%S A036000 0,1,1,2,2,4,4,7,8,12,14,21,24,34,41,55,66,88,105,137,165,210,253,319,
%T A036000 382,476,572,704,842,1031,1228,1492,1775,2140,2539,3047,3601,4299,
%U A036000 5071,6023,7083,8382,9828,11584,13552,15912,18568,21736,25296,29520
%N A036000 Number of partitions in parts not of the form 25k, 25k+1 or 25k-1. Also number of partitions with no part of size 1 and differences between parts at distance 11 are greater than 1.
%C A036000 Case k=12,i=1 of Gordon Theorem.
%D A036000 G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976, p. 109.
%F A036000 a(n) ~ exp(2*Pi*sqrt(11*n/3)/5) * 11^(1/4) * sin(Pi/25) / (3^(1/4) * 5^(3/2) * n^(3/4)). - _Vaclav Kotesovec_, May 10 2018
%t A036000 nmax = 60; Rest[CoefficientList[Series[Product[(1 - x^(25*k))*(1 - x^(25*k+ 1-25))*(1 - x^(25*k- 1))/(1 - x^k), {k, 1, nmax}], {x, 0, nmax}], x]] (* _Vaclav Kotesovec_, May 10 2018 *)
%K A036000 nonn,easy
%O A036000 1,4
%A A036000 _Olivier Gérard_