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.

A113663 Self-convolution cube of A113669, where a(n) = A113669(n+1)/(n+1).

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%I A113663 #6 Oct 23 2020 05:07:40
%S A113663 1,3,21,226,3216,56229,1158249,27367560,728245038,21531918486,
%T A113663 700096811670,24826071871890,953594302010230,39446976470619801,
%U A113663 1748616265593936681,82701936091459565976,4157268410857737364182
%N A113663 Self-convolution cube of A113669, where a(n) = A113669(n+1)/(n+1).
%H A113663 Vaclav Kotesovec, <a href="/A113663/b113663.txt">Table of n, a(n) for n = 0..350</a>
%F A113663 G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^3.
%F A113663 a(n) ~ c * 3^n * n! * n^(2/3), where c = 0.7528584991179137287053869... - _Vaclav Kotesovec_, Oct 23 2020
%o A113663 (PARI) {a(n)=local(A=1+x*O(x^n));for(i=1,n, A=(1+x*deriv(x*A))^3);polcoeff(A,n,x)}
%Y A113663 Cf. A113669, A113662, A113664, A113665, A113666, A113667, A113668.
%K A113663 nonn
%O A113663 0,2
%A A113663 _Paul D. Hanna_, Nov 04 2005