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 A009437 #22 Sep 08 2023 04:04:47 %S A009437 0,1,-3,8,-28,119,-581,3345,-22352,170889,-1480881,14361885, %T A009437 -154177068,1814792589,-23230500541,321160966833,-4767464107904, %U A009437 75612375796689,-1275789176648193,22815192314465685,-431023517858496044 %N A009437 Expansion of e.g.f. log(1+x)/exp(sinh(x)). %H A009437 G. C. Greubel, <a href="/A009437/b009437.txt">Table of n, a(n) for n = 0..448</a> %F A009437 a(n) ~ (n-1)! * (-1)^(n+1) * exp(sinh(1)). - _Vaclav Kotesovec_, Jan 23 2015 %t A009437 With[{nn=20},CoefficientList[Series[Log[1+x]/Exp[Sinh[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Oct 01 2013 *) %o A009437 (Magma) %o A009437 R<x>:=PowerSeriesRing(Rationals(), 30); %o A009437 [0] cat Coefficients(R!(Laplace( Log(1+x)*Exp(-Sinh(x)) ))); // _G. C. Greubel_, Sep 08 2023 %o A009437 (SageMath) %o A009437 def A009437_list(prec): %o A009437 P.<x> = PowerSeriesRing(QQ, prec) %o A009437 return P( log(1+x)*exp(-sinh(x)) ).egf_to_ogf().list() %o A009437 A009437_list(31) # _G. C. Greubel_, Sep 08 2023 %Y A009437 Cf. A009405 - A009420, A009422 - A009436, A009438, A009439. %K A009437 sign,easy %O A009437 0,3 %A A009437 _R. H. Hardin_ %E A009437 Extended with signs by _Olivier Gérard_, Mar 15 1997 %E A009437 Definition clarified by _Harvey P. Dale_, Oct 01 2013