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 A383166 #9 Apr 18 2025 08:44:42 %S A383166 0,0,0,1,6,15,-15,-210,28,5292,4140,-208560,-369864,11847264,33630688, %T A383166 -917280000,-3642944640,92903375616,479824306944,-11926470604800, %U A383166 -76477342307840,1892813347934208,14591875555074048,-363945109924577280,-3293838565260693504,83374884181664563200 %N A383166 Expansion of e.g.f. log(1 + (exp(2*x) - 1)/2)^3 / 6. %F A383166 a(n) = Sum{k=3..n} 2^(n-k) * Stirling2(n,k) * Stirling1(k,3). %o A383166 (PARI) a(n) = sum(k=3, n, 2^(n-k)*stirling(n, k, 2)*stirling(k, 3, 1)); %Y A383166 Column k=3 of A209849. %Y A383166 Cf. A383164. %K A383166 sign %O A383166 0,5 %A A383166 _Seiichi Manyama_, Apr 18 2025