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.

A213066 E.g.f.: (arcsinh(cosh(x)^2) - arcsinh(1))/sqrt(2), (even terms only).

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%I A213066 #16 Feb 02 2018 02:51:44
%S A213066 0,1,1,-29,211,20161,-1206479,-54804749,16984806931,-363209849759,
%T A213066 -519143744434559,87734755669460131,25846367065418224051,
%U A213066 -14672317296701543650079,-716886263478049393332239,3283895381829696830969594611
%N A213066 E.g.f.: (arcsinh(cosh(x)^2) - arcsinh(1))/sqrt(2), (even terms only).
%C A213066 This function is even, with constant term arcsinh(1) = 0.881373587019543...
%H A213066 Vincenzo Librandi, <a href="/A213066/b213066.txt">Table of n, a(n) for n = 0..100</a>
%F A213066 E.g.f.: (arcsinh(cosh(x)^2)-arcsinh(1))/sqrt(2), even terms only.
%e A213066 (arcsinh(cosh(x)^2)-arcsinh(1))/sqrt(2) = 0 + x^2/2 + x^4/4! - 29*x^6/6! + 211*x^8/8! + ...
%t A213066 Part[#, Range[1, Length[#], 2]] &@(Array[#! &, Length[#], 0]*#) &@ CoefficientList[Series[(ArcSinh[Cosh[x]^2] - ArcSinh[1])/Sqrt[2], {x, 0, 30}], x] // ExpandAll
%o A213066 (PARI) x='x+O('x^30); v=Vec(serlaplace((asinh(cosh(x)^2) - asinh(1) )/sqrt(2))); round(vector(#v\2,n,v[2*n-1])) \\ _G. C. Greubel_, Feb 01 2018
%K A213066 sign
%O A213066 0,4
%A A213066 _Olivier Gérard_, Jun 04 2012