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 A013069 #9 Aug 15 2024 12:04:48 %S A013069 1,2,3,3,-3,-15,45,315,-1575,-14175,99225,1091475,-9823275,-127702575, %T A013069 1404728325,21070924875,-273922023375,-4656674397375,69850115960625, %U A013069 1327152203251875,-22561587455281875 %N A013069 Expansion of e.g.f.: exp(arcsinh(x)+log(x+1))=1+2*x+3/2!*x^2+3/3!*x^3-3/4!*x^4-15/5!*x^5... %t A013069 With[{nn=20},CoefficientList[Series[Exp[ArcSinh[x]+Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Aug 15 2024 *) %Y A013069 Cf. A046126. %Y A013069 a(2n) = (-1)^(n+1) * A079484(n), n>1. %K A013069 sign %O A013069 0,2 %A A013069 Patrick Demichel (patrick.demichel(AT)hp.com) %E A013069 Definition clarified by _Harvey P. Dale_, Aug 15 2024