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.

A383839 a(n) = [x^n] 1/(1 - n*x) * Product_{k=0..n-1} (1 + k*x)/(1 - k*x).

This page as a plain text file.
%I A383839 #20 May 14 2025 10:51:00
%S A383839 1,1,10,177,4576,156145,6627006,336562177,19906794496,1344082891761,
%T A383839 102012257669950,8597688151223281,796733925564191616,
%U A383839 80516951813773009249,8812696026991760928766,1038540275078155878285825,131107274213106172807069696,17652158052761888943436783009
%N A383839 a(n) = [x^n] 1/(1 - n*x) * Product_{k=0..n-1} (1 + k*x)/(1 - k*x).
%F A383839 a(n) = Sum_{k=0..n} |Stirling1(n,k)| * Stirling2(k+n,n).
%o A383839 (PARI) a(n) = sum(k=0, n, abs(stirling(n, k, 1))*stirling(k+n, n, 2));
%Y A383839 Cf. A350366, A383767.
%K A383839 nonn
%O A383839 0,3
%A A383839 _Seiichi Manyama_, May 14 2025