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%I #8 Oct 22 2022 14:02:18
%S 1,1,1,1,1,61,361,1261,3361,68041,1073521,8343721,43290721,432509221,
%T 11472541081,165124339381,1457296102081,12237047593681,
%U 322364521392481,7462073325643921,103362225413048641,1051987428484484941,21127644716862970441
%N Expansion of e.g.f. exp( (exp(x^4) - 1)/x^3 ).
%F a(n) = n! * Sum_{k=0..floor(n/4)} Stirling2(n-3*k,n-4*k)/(n-3*k)!.
%o (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((exp(x^4)-1)/x^3)))
%o (PARI) a(n) = n!*sum(k=0, n\4, stirling(n-3*k, n-4*k, 2)/(n-3*k)!);
%Y Cf. A357962, A357964.
%Y Cf. A353225.
%K nonn
%O 0,6
%A _Seiichi Manyama_, Oct 22 2022