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 A371198 #7 Mar 15 2024 07:24:14 %S A371198 1,0,0,0,24,180,960,8820,129024,2177280,32875200,533887200,9997827840, %T A371198 212133841920,4799669696640,114208231737600,2901190960926720, %U A371198 79007705121945600,2289453730357248000,69972073047194572800,2249392810263651532800 %N A371198 Expansion of e.g.f. 1/(1 + x^3 * log(1 - x - x^2)). %F A371198 a(n) = n! * Sum_{j=0..n} Sum_{k=0..floor(j/3)} k! * binomial(j-2*k,n-j-k) * |Stirling1(j-2*k,k)|/(j-2*k)!. %o A371198 (PARI) a(n) = n!*sum(j=0, n, sum(k=0, j\3, k!*binomial(j-2*k, n-j-k)*abs(stirling(j-2*k, k, 1))/(j-2*k)!)); %Y A371198 Cf. A371196, A371197. %Y A371198 Cf. A371158. %K A371198 nonn %O A371198 0,5 %A A371198 _Seiichi Manyama_, Mar 15 2024