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 A009436 #21 Sep 08 2023 04:04:01 %S A009436 0,1,-3,8,-20,59,-261,1665,-12368,99945,-888961,8802045,-96423788, %T A009436 1154791637,-14982150197,209295667833,-3133083877248,50039962416625, %U A009436 -849332973526881,15266142375582901,-289679348425382572 %N A009436 Expansion of e.g.f. log(1+x)/exp(sin(x)). %H A009436 G. C. Greubel, <a href="/A009436/b009436.txt">Table of n, a(n) for n = 0..450</a> %F A009436 a(n) ~ (n-1)! * (-1)^(n+1) * exp(sin(1)). - _Vaclav Kotesovec_, Jan 23 2015 %t A009436 With[{m=30}, CoefficientList[Series[Log[1+x]/E^Sin[x], {x,0,m}], x]*Range[0,m]!] (* _Vaclav Kotesovec_, Jan 23 2015 *) %o A009436 (Magma) %o A009436 R<x>:=PowerSeriesRing(Rationals(), 30); %o A009436 [0] cat Coefficients(R!(Laplace( Log(1+x)*Exp(-Sin(x)) ))); // _G. C. Greubel_, Sep 08 2023 %o A009436 (SageMath) %o A009436 def A009436_list(prec): %o A009436 P.<x> = PowerSeriesRing(QQ, prec) %o A009436 return P( log(1+x)*exp(-sin(x)) ).egf_to_ogf().list() %o A009436 A009436_list(31) # _G. C. Greubel_, Sep 08 2023 %Y A009436 Cf. A009405 - A009420, A009422 - A009435, A009437 - A009439. %K A009436 sign,easy %O A009436 0,3 %A A009436 _R. H. Hardin_ %E A009436 Extended with signs by _Olivier Gérard_, Mar 15 1997