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.

A382950 a(n) = [(x*y)^n] Product_{k>=1} (1 + x^k + y^k)^n.

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%I A382950 #10 Apr 10 2025 06:46:01
%S A382950 1,0,6,102,1342,20030,306852,4783534,75873934,1220259306,19837742836,
%T A382950 325375411438,5376744428812,89412908941096,1494992390431000,
%U A382950 25114561595879252,423649216254936110,7172523302899053230,121828099966104173892,2075321708914763792740
%N A382950 a(n) = [(x*y)^n] Product_{k>=1} (1 + x^k + y^k)^n.
%H A382950 Vaclav Kotesovec, <a href="/A382950/b382950.txt">Table of n, a(n) for n = 0..200</a>
%F A382950 a(n) ~ c * d^n / n, where d = 17.95370167248385600263... and c = 0.0600668009236121058... - _Vaclav Kotesovec_, Apr 10 2025
%t A382950 Table[SeriesCoefficient[Product[(1 + x^k + y^k)^n, {k, 1, n}], {x, 0, n}, {y, 0, n}], {n, 0, 19}]
%Y A382950 Cf. A270913, A365662.
%K A382950 nonn
%O A382950 0,3
%A A382950 _Ilya Gutkovskiy_, Apr 09 2025