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 A381106 #11 Feb 14 2025 05:22:26 %S A381106 0,0,0,0,4,40,320,2555,21728,200802,2024510,22221485,264453750, %T A381106 3396686865,46873789235,692049842575,10889098371032,181952854080860, %U A381106 3218431205690356,60087159752141449,1180916015576750386,24372799835934758327,527084149497398472485,11919591185373007970251 %N A381106 Expansion of e.g.f. -log(1-x)^3 * (exp(x) - 1) / 6. %F A381106 a(n) = Sum_{k=0..n-1} binomial(n,k) * |Stirling1(k,3)|. %F A381106 a(n) = A381022(n) - A000399(n). %o A381106 (PARI) a(n) = sum(k=0, n-1, binomial(n, k)*abs(stirling(k, 3, 1))); %Y A381106 Cf. A052863, A381105. %Y A381106 Cf. A000399, A381022. %K A381106 nonn %O A381106 0,5 %A A381106 _Seiichi Manyama_, Feb 14 2025