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%I #18 Sep 10 2024 04:15:14
%S 0,1,3,23,278,4624,98064,2530142,76931224,2694025872,106782582720,
%T 4726084696992,231030209532528,12362764041338736,718779255989466840,
%U 45118706229328822680,3041140847160686156544,219071239142209684437504,16796070771249534388114176
%N E.g.f. satisfies A(x) = log(1 + x * exp(A(x))) * exp(A(x)).
%H Seiichi Manyama, <a href="/A357349/b357349.txt">Table of n, a(n) for n = 0..359</a>
%H <a href="/index/Res#revert">Index entries for reversions of series</a>
%F a(n) = Sum_{k=1..n} (n+k)^(k-1) * Stirling1(n,k).
%F E.g.f.: Series_Reversion( exp(-x) * (exp(x * exp(-x)) - 1) ). - _Seiichi Manyama_, Sep 10 2024
%o (PARI) a(n) = sum(k=1, n, (n+k)^(k-1)*stirling(n, k, 1));
%Y Cf. A357350, A357351, A357423.
%Y Cf. A162655.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Sep 25 2022