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 A357920 #8 Oct 20 2022 12:44:40 %S A357920 1,0,0,0,0,1,-1,2,-6,24,-119,717,-5029,40270,-362606,3627037, %T A357920 -39903738,478892051,-6225994449,87167664184,-1307553837291, %U A357920 20921303563234,-355667626509575,6402090252833481,-121640761396741607,2432831275825738669,-51089718792714854191 %N A357920 a(n) = Sum_{k=0..floor(n/5)} Stirling1(n - 4*k,k). %F A357920 G.f.: Sum_{k>=0} (-x)^k * Product_{j=0..k-1} (j - x^4). %o A357920 (PARI) a(n) = sum(k=0, n\5, stirling(n-4*k, k, 1)); %o A357920 (PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=0, N, (-x)^k*prod(j=0, k-1, j-x^4))) %Y A357920 Cf. A357902, A357919. %K A357920 sign %O A357920 0,8 %A A357920 _Seiichi Manyama_, Oct 20 2022