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%I #5 May 30 2019 03:13:28
%S 1,3,22,219,2771,42432,762539,15736131,366842002,9536745963,
%T 273601703035,8587640290656,292752138541643,10772040284616075,
%U 425539049950420682,17963758770051942339,807032690733694275307
%N L.g.f.: A(x) = log( 1 + Sum_{n>=1} n^(n-1)*x^n ) = Sum_{n>=1} a(n)*x^n/n.
%H Vaclav Kotesovec, <a href="/A141152/b141152.txt">Table of n, a(n) for n = 1..380</a>
%F a(n) ~ n^n. - _Vaclav Kotesovec_, May 30 2019
%e L.g.f.: A(x) = x + 3*x^2/2 + 22*x^3/3 + 219*x^4/4 + 2771*x^5/5 +...
%e exp(A(x)) = 1 + x + 2*x^2 + 9*x^3 + 64*x^4 + 625*x^5 + 7776*x^6 +...
%o (PARI) {a(n)=polcoeff(x*deriv(log(Ser(concat(1,vector(n+1,k,k^(k-1)))))),n)}
%Y Cf. A141151.
%K nonn
%O 1,2
%A _Paul D. Hanna_, Jun 11 2008
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