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%I #4 Nov 23 2017 19:24:31
%S 1,1,5,46,689,15476,483157,19719022,1009495489,63119450152,
%T 4728073048901,417482964953594,42834647403146161,5043607239173464924,
%U 674409403861210214485,101517071981284179924526,17074451852556909059698433,3187883879639402167714593488,656838643288782957496595002117
%N a(n) = n! * [x^n] exp(x*exp(n*x)).
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F a(n) = Sum_{k=0..n} binomial(n,k)*(n*k)^(n-k).
%t Table[n! SeriesCoefficient[Exp[x Exp[n x]], {x, 0, n}], {n, 0, 18}]
%t Join[{1}, Table[Sum[Binomial[n, k] (n k)^(n - k), {k, 0, n}], {n, 1, 18}]]
%Y Cf. A000248, A216689, A292914.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Nov 23 2017
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