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.
%I A384087 #11 May 19 2025 10:03:15
%S A384087 1,6,162,7848,552000,51035310,5853933666,802178739936,127879052859648,
%T A384087 23252775004089990,4750089647035004250,1077069265550569663416,
%U A384087 268437124701985949614944,72940650531961450912140558,21461129870889481564510048050,6797577340761206051865208521600,2306127185536355501260494657447936
%N A384087 a(n) = [x^n] Product_{k=1..n} ((1 + k*x)/(1 - k*x))^3.
%F A384087 a(n) ~ c * d^n * n! / n, where d = 22.56625698335414867480351407039325848948214595770919713967057... and c = 0.403760467212667768540403611728406212428403946576093482938996...
%t A384087 Table[SeriesCoefficient[Product[(1+k*x)^3/(1-k*x)^3, {k, 1, n}], {x, 0, n}], {n, 0, 16}]
%Y A384087 Cf. A384012, A383862.
%Y A384087 Cf. A350366, A384086, A384088, A351764.
%K A384087 nonn
%O A384087 0,2
%A A384087 _Vaclav Kotesovec_, May 19 2025