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.

A383073 a(n) = [x^n] Product_{k=1..n} (1 + x^k)^binomial(n,k).

This page as a plain text file.
%I A383073 #12 Apr 15 2025 09:41:02
%S A383073 1,1,2,11,69,552,5133,53804,626440,7979043,110074741,1631532542,
%T A383073 25813521836,433619035254,7698641650937,143908414079881,
%U A383073 2822753485000135,57930283521990154,1240695879627856673,27666701629865989070,641049490249340264699
%N A383073 a(n) = [x^n] Product_{k=1..n} (1 + x^k)^binomial(n,k).
%H A383073 Vaclav Kotesovec, <a href="/A383073/b383073.txt">Table of n, a(n) for n = 0..200</a>
%t A383073 Table[SeriesCoefficient[Product[(1 + x^k)^Binomial[n, k], {k, 1, n}], {x, 0, n}], {n, 0, 20}]
%Y A383073 Cf. A360660.
%Y A383073 Cf. A026007, A102866, A344130, A369578.
%K A383073 nonn
%O A383073 0,3
%A A383073 _Vaclav Kotesovec_, Apr 15 2025