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.

A347585 Number of partitions of n^2 into n or more parts.

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%I A347585 #21 Sep 14 2021 02:11:52
%S A347585 1,1,4,25,201,1773,16751,165083,1681341,17562238,187255089,2030853040,
%T A347585 22344663465,248900855994,2802367768848,31848644363490,
%U A347585 364960085991118,4212964989100093,48953036382441044,572178690287957687,6723501191850208483,79388206896842420091
%N A347585 Number of partitions of n^2 into n or more parts.
%H A347585 Seiichi Manyama, <a href="/A347585/b347585.txt">Table of n, a(n) for n = 0..100</a>
%F A347585 a(n) = [x^(n^2)] Sum_{k>=n} x^k / Product_{j=1..k} (1 - x^j).
%F A347585 a(n) = A072213(n) + A206240(n) - A206226(n).
%F A347585 a(n) ~ exp(Pi*sqrt(2/3)*n) / (4*sqrt(3)*n^2). - _Vaclav Kotesovec_, Sep 14 2021
%Y A347585 Cf. A058399, A072213, A161408, A206226, A206240.
%K A347585 nonn
%O A347585 0,3
%A A347585 _Seiichi Manyama_, Sep 08 2021