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%I #10 Apr 11 2023 10:56:39
%S -1,-1,5,71,1223,34619,1350629,65717315,3812715311,256504939703,
%T 19615931258309,1679703910478879,159161100818585975,
%U 16530378160682622131,1867052905777649782373,227820142193907368696219,29863924388750996422840799,4185177460305652712999777135
%N Expansion of e.g.f. -exp(x * (1-9*x)^(1/3)).
%F a(n) = - n! * Sum_{k=0..n} (-9)^k * binomial((n-k)/3,k)/(n-k)!.
%o (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(-exp(x*(1-9*x)^(1/3))))
%Y Cf. A362157.
%K sign,easy
%O 0,3
%A _Seiichi Manyama_, Apr 10 2023