cp's OEIS Frontend

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.

A296980 Expansion of e.g.f. arcsinh(log(1 + x)).

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%I A296980 #8 Mar 27 2019 03:49:50
%S A296980 0,1,-1,1,0,-2,-30,446,-3248,12412,16020,-211356,-10756944,284038272,
%T A296980 -3556910448,19122463296,135073768320,-1286054192304,-108801241372368,
%U A296980 3952903127312016,-65667347037774720,339816855220730784,8862271481944986336
%N A296980 Expansion of e.g.f. arcsinh(log(1 + x)).
%e A296980 arcsinh(log(1 + x)) = x^1/1! - x^2/2! + x^3/3! - 2*x^5/5! - 30*x^6/6! + ...
%p A296980 a:=series(arcsinh(log(1+x)),x=0,23): seq(n!*coeff(a,x,n),n=0..22); # _Paolo P. Lava_, Mar 26 2019
%t A296980 nmax = 22; CoefficientList[Series[ArcSinh[Log[1 + x]], {x, 0, nmax}], x] Range[0, nmax]!
%t A296980 nmax = 22; CoefficientList[Series[Log[Log[1 + x] + Sqrt[1 + Log[1 + x]^2]], {x, 0, nmax}], x] Range[0, nmax]!
%Y A296980 Cf. A001710, A001818, A003703, A003708, A009024, A009454, A009775, A104150, A296435, A296979, A296981, A296982.
%K A296980 sign
%O A296980 0,6
%A A296980 _Ilya Gutkovskiy_, Dec 22 2017