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 A105797 #12 May 25 2015 14:13:48
%S A105797 0,1,3,19,135,1291,14343,188539,2815095,47412811,886239783,
%T A105797 18231365659,409053408855,9943622273131,260300948527623,
%U A105797 7300927107288379,218426614502831415,6943261704033434251,233692323131307301863
%N A105797 "Stirling-Bernoulli transform" of Pell numbers.
%F A105797 E.g.f.: e^x*(1-e^x)/(1-4*e^x+2*e^(2*x)).
%F A105797 a(n) = Sum_{k = 0..n} (-1)^(n-k) * k! * S2(n, k) * A000129(k).
%F A105797 a(n) ~ n!/(4*log(1+1/sqrt(2))^(n+1)). - _Vaclav Kotesovec_, Sep 26 2013
%F A105797 a(n) = Sum_{k = 0..n} (-1)^(n-k) * A131689(n,k) * A000129(k). - _Philippe Deléham_, May 25 2015
%t A105797 CoefficientList[Series[E^x*(1-E^x)/(1-4*E^x+2*E^(2*x)), {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Sep 26 2013 *)
%Y A105797 Cf. A050946.
%K A105797 nonn,easy
%O A105797 0,3
%A A105797 _Paul Barry_, Apr 20 2005