cp's OEIS Frontend

A113665 Self-convolution 5th power of A113671, where a(n) = A113671(n+1)/(n+1).

%I A113665 #8 Oct 23 2020 08:36:40
%S A113665 1,5,60,1110,27105,811026,28511130,1146762120,51826136580,
%T A113665 2597311722545,142897603735880,8561763675801900,554962861232408910,
%U A113665 38698651781787343980,2889100726488051970230,229948324353525499175160
%N A113665 Self-convolution 5th power of A113671, where a(n) = A113671(n+1)/(n+1).
%H A113665 Vaclav Kotesovec, <a href="/A113665/b113665.txt">Table of n, a(n) for n = 0..350</a>
%F A113665 G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^5.
%F A113665 a(n) ~ c * 5^n * n! * n^(4/5), where c = 0.688632085705020709346557... - _Vaclav Kotesovec_, Oct 23 2020
%o A113665 (PARI) {a(n)=local(A=1+x*O(x^n));for(i=1,n, A=(1+x*deriv(x*A))^5);polcoeff(A,n,x)}
%Y A113665 Cf. A113671, A113662, A113663, A113664, A113666, A113667, A113668.
%K A113665 nonn
%O A113665 0,2
%A A113665 _Paul D. Hanna_, Nov 04 2005