%I #8 Oct 23 2020 08:38:07

%S 1,6,87,1946,57429,2075376,88058362,4272270786,232769956974,

%T 14056832143770,931523802358452,67202173618455120,5243275012537211083,

%U 439986956480236610424,39519795153012732250740

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

%H Vaclav Kotesovec, <a href="/A113666/b113666.txt">Table of n, a(n) for n = 0..344</a>

%F G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^6.

%F a(n) ~ c * 6^n * n! * n^(5/6), where c = 0.67248889832227393928944... - _Vaclav Kotesovec_, Oct 23 2020

%o (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 Cf. A113672, A113662, A113663, A113664, A113665, A113667, A113668.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 04 2005