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%I #8 May 13 2024 09:13:51
%S 0,1,2,-2,8,24,-2240,59600,-640000,-35477120,2287843200,-337824000,
%T -8328489693696,320219485774848,53149588906171392,
%U -5832590252624818176,-534898113615540043776,142559169839206640025600,6582786304965587026329600
%N E.g.f. A(x) satisfies A(A(A(A(x)))) = (exp(8*x) - 1)/8.
%F Define the sequence b(n,m) as follows. If n<m, b(n,m) = 0, else if n=m, b(n,m) = 1, otherwise b(n,m) = 1/4 * ( 8^(n-m) * Stirling2(n,m) - Sum_{l=m+1..n-1} (b(n,l) + Sum_{k=l..n} (b(n,k) + Sum_{j=k..n} b(n,j) * b(j,k)) * b(k,l)) * b(l,m) ). a(n) = b(n,1).
%Y Cf. A184011, A209519, A372746.
%Y Cf. A372796.
%K sign
%O 0,3
%A _Seiichi Manyama_, May 13 2024
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