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.

A013430 Expansion of e.g.f. exp(arcsin(x)-arctanh(x)).

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%I A013430 #10 Jan 23 2025 19:25:40
%S A013430 1,0,0,-1,0,-15,10,-495,840,-29575,87750,-2805075,12340900,-387547875,
%T A013430 2304422250,-73485787375,556725078000,-18311017515375,169707184396750,
%U A013430 -5801182757296875,63859173696337500
%N A013430 Expansion of e.g.f. exp(arcsin(x)-arctanh(x)).
%F A013430 a(n) = (-1)^n * (A006228(n+1) - n * A006228(n)). - _Mark van Hoeij_, Aug 27 2005
%e A013430 1-1/3!*x^3-15/5!*x^5+10/6!*x^6-495/7!*x^7...
%t A013430 With[{nn=20},CoefficientList[Series[Exp[ArcSin[x]-ArcTanh[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jan 23 2025 *)
%o A013430 (PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(asin(x)-atanh(x)))) \\ _Michel Marcus_, May 10 2020
%Y A013430 Cf. A006228, A013170.
%K A013430 sign
%O A013430 0,6
%A A013430 Patrick Demichel (patrick.demichel(AT)hp.com)