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 A009209 #23 Apr 10 2022 02:39:28 %S A009209 1,0,0,-1,0,1,10,-1,-56,-279,246,4619,14388,-53195,-556478,-864865, %T A009209 13276912,90192753,-72903378,-3987888493,-16957067028,101506932205, %U A009209 1411655530330,2206092853799,-70455418153496,-549095655588183,1428569363164230 %N A009209 Expansion of e.g.f.: exp(sin(x))/exp(x). %F A009209 a(0) = 1; a(n) = Sum_{k=1..floor((n-1)/2)} (-1)^k * binomial(n-1,2*k) * a(n-2*k-1). - _Ilya Gutkovskiy_, Apr 09 2022 %t A009209 With[{nn=30},CoefficientList[Series[Exp[Sin[x]]/Exp[x],{x,0,nn}], x]Range[0,nn]!] (* _Harvey P. Dale_, Jun 27 2012 *) %o A009209 (PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(sin(x))/exp(x))) \\ _Michel Marcus_, Apr 09 2022 %Y A009209 Cf. A002017, A009227. %K A009209 sign,easy %O A009209 0,7 %A A009209 _R. H. Hardin_ %E A009209 Extended with signs by _Olivier Gérard_, Mar 15 1997 %E A009209 Definition clarified by _Harvey P. Dale_, Jun 27 2012