cp's OEIS Frontend

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.

A258369 Stirling-Bernoulli transform of A027656.

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%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