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 A258369 #12 Jul 01 2018 07:27:13 %S A258369 1,1,5,25,173,1441,14165,160105,2044733,29105521,456781925,7834208185, %T A258369 145760370893,2923764916801,62891469229685,1444055265984265, %U A258369 35250519098274653,911569049328779281,24893164161460525445,715822742720760256345,21620050147748210572013 %N A258369 Stirling-Bernoulli transform of A027656. %C A258369 Also called Akiyama-Tanigawa transform of A027656. %F A258369 a(n) = Sum_{k = 0..n} A163626(n,k)*A027656(k). %F A258369 a(n) = Sum_{k>=0} A249163(n,k) * (k+1). %F A258369 E.g.f.: 1/(exp(x)*(2 - exp(x))^2). %F A258369 a(n) ~ n! * n / (8 * (log(2))^(n+2)). - _Vaclav Kotesovec_, Jul 01 2018 %e A258369 a(0) = 1*1 = 1. %e A258369 a(1) = 1*1 = 1. %e A258369 a(2) = 1*1 + 2*2 = 5. %e A258369 a(3) = 1*1 + 12*2 = 25. %e A258369 a(4) = 1*1 + 50*2 + 24*3 = 173. %Y A258369 Cf. A027656, A163626, A249163. %K A258369 nonn,easy %O A258369 0,3 %A A258369 _Philippe Deléham_, May 28 2015