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 A297210 #7 Mar 27 2019 03:51:01 %S A297210 0,1,-3,7,-16,48,-213,1027,-4856,32512,-309377,2527963,-16805072, %T A297210 179877332,-2916171997,32511289795,-227822369168,3575741575680, %U A297210 -98643332014049,1352701143217491,-6534261348983096,168508582018012980,-9094443640555413357,143341194607564099595 %N A297210 Expansion of e.g.f. log(1 + arcsinh(x))*exp(-x). %e A297210 log(1 + arcsinh(x))*exp(-x) = x/1! - 3*x^2/2! + 7*x^3/3! - 16*x^4/4! + 48*x^5/5! - 213*x^6/6! + ... %p A297210 a:=series(log(1+arcsinh(x))*exp(-x),x=0,24): seq(n!*coeff(a,x,n),n=0..23); # _Paolo P. Lava_, Mar 26 2019 %t A297210 nmax = 23; CoefficientList[Series[Log[1 + ArcSinh[x]] Exp[-x], {x, 0, nmax}], x] Range[0, nmax]! %t A297210 nmax = 23; CoefficientList[Series[Log[1 + Log[x + Sqrt[1 + x^2]]] Exp[-x], {x, 0, nmax}], x] Range[0, nmax]! %Y A297210 Cf. A009337, A009356, A009374, A009393, A296435, A296437, A297209, A297211, A297213. %K A297210 sign %O A297210 0,3 %A A297210 _Ilya Gutkovskiy_, Dec 27 2017