cp's OEIS Frontend

A113667 Self-convolution 7th power of A113673, where a(n) = A113673(n+1)/(n+1).

%I A113667 #8 Oct 23 2020 08:40:33
%S A113667 1,7,119,3122,108031,4575543,227428166,12920344256,823981508700,
%T A113667 58224680389435,4513525625433076,380801193456921958,
%U A113667 34738963053424196609,3407790141561016562022,357764735284328750251272
%N A113667 Self-convolution 7th power of A113673, where a(n) = A113673(n+1)/(n+1).
%H A113667 Vaclav Kotesovec, <a href="/A113667/b113667.txt">Table of n, a(n) for n = 0..325</a>
%F A113667 G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^7.
%F A113667 a(n) ~ c * 7^n * n! * n^(6/7), where c = 0.6609663441165155995412... - _Vaclav Kotesovec_, Oct 23 2020
%o A113667 (PARI) {a(n)=local(A=1+x*O(x^n));for(i=1,n, A=(1+x*deriv(x*A))^7);polcoeff(A,n,x)}
%Y A113667 Cf. A113673, A113662, A113663, A113664, A113665, A113666, A113668.
%K A113667 nonn
%O A113667 0,2
%A A113667 _Paul D. Hanna_, Nov 04 2005