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 A012316 #13 Sep 08 2022 08:44:38
%S A012316 1,1,3,11,49,265,1635,11531,90241,785777,7464483,77615947,870363377,
%T A012316 10565245561,137126790723,1910729723787,28271549169025,
%U A012316 446132922949985,7432565149802947,131334851550591627
%N A012316 Expansion of e.g.f.: exp(arcsin(x)*exp(x)).
%H A012316 G. C. Greubel, <a href="/A012316/b012316.txt">Table of n, a(n) for n = 0..449</a>
%e A012316 E.g.f. = 1+x+3/2!*x^2+11/3!*x^3+49/4!*x^4+265/5!*x^5...
%p A012316 seq(coeff(series(factorial(n)*exp(arcsin(x)*exp(x)),x,n+1), x, n), n = 0 .. 20); # _Muniru A Asiru_, Oct 25 2018
%t A012316 With[{nn=20},CoefficientList[Series[Exp[ArcSin[x]Exp[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jul 31 2014 *)
%o A012316 (PARI) x='x+O('x^30); Vec(serlaplace(exp(asin(x)*exp(x)))) \\ _G. C. Greubel_, Oct 25 2018
%o A012316 (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Exp(Arcsin(x)*Exp(x)))); [Factorial(n-1)*b[n]: n in [1..m-1]]; // _G. C. Greubel_, Oct 25 2018
%K A012316 nonn
%O A012316 0,3
%A A012316 Patrick Demichel (patrick.demichel(AT)hp.com)
%E A012316 Definition clarified by _Harvey P. Dale_, Jul 31 2014