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 A362163 #8 Apr 10 2023 10:52:38 %S A362163 -1,-1,1,8,23,64,479,6026,80863,1194488,19951919,374005774,7768598111, %T A362163 177019006748,4389955280983,117700126685714,3392361648663359, %U A362163 104592876994535056,3434908279968850463,119702402510430502358,4411764405014665620799 %N A362163 Expansion of e.g.f. -exp(x * sqrt(1-2*x)). %F A362163 a(n) = - n! * Sum_{k=0..n} (-2)^k * binomial((n-k)/2,k)/(n-k)!. %o A362163 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(-exp(x*sqrt(1-2*x)))) %Y A362163 Cf. A362158, A362176. %K A362163 sign,easy %O A362163 0,4 %A A362163 _Seiichi Manyama_, Apr 10 2023