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 A375661 #11 Sep 01 2024 09:35:48 %S A375661 1,0,6,9,156,735,9738,83181,1129656,13662459,207281190,3151269033, %T A375661 54457383060,980680471095,19240001086530,397345461622245, %U A375661 8763618490102128,203472380293912563,4991552271140255838,128517790560854181537,3472936316648987980620 %N A375661 Expansion of e.g.f. 1 / (1 - x * (exp(x) - 1))^3. %F A375661 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A052848. %F A375661 a(n) = (n!/2) * Sum_{k=0..floor(n/2)} (k+2)! * Stirling2(n-k,k)/(n-k)!. %o A375661 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x*(exp(x)-1))^3)) %o A375661 (PARI) a(n) = n!*sum(k=0, n\2, (k+2)!*stirling(n-k, k, 2)/(n-k)!)/2; %Y A375661 Cf. A052848, A375660. %Y A375661 Cf. A226515. %K A375661 nonn %O A375661 0,3 %A A375661 _Seiichi Manyama_, Aug 23 2024