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A113666 Self-convolution 6th power of A113672, where a(n) = A113672(n+1)/(n+1).

%I A113666 #8 Oct 23 2020 08:38:07
%S A113666 1,6,87,1946,57429,2075376,88058362,4272270786,232769956974,
%T A113666 14056832143770,931523802358452,67202173618455120,5243275012537211083,
%U A113666 439986956480236610424,39519795153012732250740
%N A113666 Self-convolution 6th power of A113672, where a(n) = A113672(n+1)/(n+1).
%H A113666 Vaclav Kotesovec, <a href="/A113666/b113666.txt">Table of n, a(n) for n = 0..344</a>
%F A113666 G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^6.
%F A113666 a(n) ~ c * 6^n * n! * n^(5/6), where c = 0.67248889832227393928944... - _Vaclav Kotesovec_, Oct 23 2020
%o A113666 (PARI) {a(n)=local(A=1+x*O(x^n));for(i=1,n, A=(1+x*deriv(x*A))^6);polcoeff(A,n,x)}
%Y A113666 Cf. A113672, A113662, A113663, A113664, A113665, A113667, A113668.
%K A113666 nonn
%O A113666 0,2
%A A113666 _Paul D. Hanna_, Nov 04 2005