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A113664 Self-convolution 4th power of A113670, where a(n) = A113670(n+1)/(n+1).

%I A113664 #8 Oct 23 2020 06:23:09
%S A113664 1,4,38,556,10745,254700,7100444,226687964,8138624340,324257974800,
%T A113664 14191562670382,676772204063828,34931592000218062,1940427169943222088,
%U A113664 115440543670528170360,7323969420842077029820,493653199877341017573868
%N A113664 Self-convolution 4th power of A113670, where a(n) = A113670(n+1)/(n+1).
%H A113664 Vaclav Kotesovec, <a href="/A113664/b113664.txt">Table of n, a(n) for n = 0..360</a>
%F A113664 G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^4.
%F A113664 a(n) ~ c * 4^n * n! * n^(3/4), where c = 0.71282302257258522141135342... - _Vaclav Kotesovec_, Oct 23 2020
%o A113664 (PARI) {a(n)=local(A=1+x*O(x^n));for(i=1,n, A=(1+x*deriv(x*A))^4);polcoeff(A,n,x)}
%Y A113664 Cf. A113670, A113662, A113663, A113665, A113666, A113667, A113668.
%K A113664 nonn
%O A113664 0,2
%A A113664 _Paul D. Hanna_, Nov 04 2005