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 A085387 #8 Oct 19 2013 10:48:12
%S A085387 1,1,2,7,23,71,242,925,3649,14593,61082,269039,1220375,5658823,
%T A085387 27047386,133453429,674644673,3482517185,18399534386,99518837527,
%U A085387 549283557463,3088289136391,17697783668930,103351677649037,614068613826689
%N A085387 E.g.f exp(x)*cosh(x+x^2/2).
%C A085387 Binomial transform of A085386. A085387 is the mean of A005425 and the sequence with e.g.f. exp(-x^2/2).
%F A085387 E.g.f.: exp(x)*cosh(x+x^2/2).
%F A085387 Conjecture: a(n) -3*a(n-1) +2*a(n-2) +(-2*n+3)*a(n-3) +-(n-3)^2*a(n-4) +(n-3)*(n-4)*a(n-5)=0. - _R. J. Mathar_, Nov 24 2012
%F A085387 a(n) ~ 2^(-3/2) * exp(2*sqrt(n) - n/2 - 1) * n^(n/2) * (1+5/(6*sqrt(n))). - _Vaclav Kotesovec_, Oct 19 2013
%t A085387 CoefficientList[Series[E^x*Cosh[x+x^2/2], {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Oct 19 2013 *)
%Y A085387 Cf. A001147.
%K A085387 easy,nonn
%O A085387 0,3
%A A085387 _Paul Barry_, Jun 27 2003