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.

A088189 Expansion of e.g.f.: 1/(1-sinh(x)-x-x^2).

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%I A088189 #11 Apr 25 2025 05:06:03
%S A088189 1,2,10,73,712,8681,127004,2167789,42287088,928006801,22628305012,
%T A088189 606939739253,17759375280200,562952693773081,19217673118604172,
%U A088189 702899000556953437,27422924828816762848,1136746326170994466337,49892691063347466789860,2311486678172789188448965,112725522031113629713962552
%N A088189 Expansion of e.g.f.: 1/(1-sinh(x)-x-x^2).
%F A088189 a(n) ~ n!/((cosh(r)+1+2*r)*r^(n+1)), where r = 0.41010884430143... is the root of the equation r+r^2+sinh(r)=1. - _Vaclav Kotesovec_, Jun 27 2013
%t A088189 CoefficientList[Series[1/(1-Sinh[x]-x-x^2), {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Jun 27 2013 *)
%Y A088189 Cf. A006154, A088181.
%K A088189 nonn
%O A088189 0,2
%A A088189 _Karol A. Penson_, Sep 22 2003
%E A088189 a(0) = 1 prepended by _Georg Fischer_, Apr 25 2025