This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A362159 #10 Apr 11 2023 10:56:39 %S A362159 -1,-1,5,71,1223,34619,1350629,65717315,3812715311,256504939703, %T A362159 19615931258309,1679703910478879,159161100818585975, %U A362159 16530378160682622131,1867052905777649782373,227820142193907368696219,29863924388750996422840799,4185177460305652712999777135 %N A362159 Expansion of e.g.f. -exp(x * (1-9*x)^(1/3)). %F A362159 a(n) = - n! * Sum_{k=0..n} (-9)^k * binomial((n-k)/3,k)/(n-k)!. %o A362159 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(-exp(x*(1-9*x)^(1/3)))) %Y A362159 Cf. A362157. %K A362159 sign,easy %O A362159 0,3 %A A362159 _Seiichi Manyama_, Apr 10 2023