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.

A304990 Squares of number of partitions into distinct parts.

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%I A304990 #10 Apr 24 2025 06:27:18
%S A304990 1,1,1,4,4,9,16,25,36,64,100,144,225,324,484,729,1024,1444,2116,2916,
%T A304990 4096,5776,7921,10816,14884,20164,27225,36864,49284,65536,87616,
%U A304990 115600,152100,200704,262144,342225,446224,577600,746496,964324,1238769,1587600
%N A304990 Squares of number of partitions into distinct parts.
%F A304990 a(n) ~ exp(2*Pi*sqrt(n/3)) / (16*sqrt(3)*n^(3/2)).
%F A304990 a(n) = A000009(n)^2.
%F A304990 a(n) = [(x*y)^n] Product_{k>=1} (1 + x^k) * (1 + y^k). - _Ilya Gutkovskiy_, Apr 24 2025
%t A304990 Table[PartitionsQ[n]^2, {n, 0, 50}]
%Y A304990 Cf. A000009, A000290, A001255.
%K A304990 nonn
%O A304990 0,4
%A A304990 _Vaclav Kotesovec_, May 23 2018