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A178956 Numerators in expansion of 1/(Sum_{n >= 0} (x^n/n!)*binomial(2n,n)/(n+1)). 2

%I

%S 1,-1,0,1,1,-1,-7,-13,169,233,17,-18847,-43957,26023,429007,31505483,

%T -31381783,-753299101,-7372705283,195152846389,632396244331,

%U -52258919107,-447065769153911,-13584264183406001,34831349327448893,674219621951483119,2113978805943481381,-6602691591860999071,-370308752490094361609,-95867348590727618473,752151788353653780085507

%N Numerators in expansion of 1/(Sum_{n >= 0} (x^n/n!)*binomial(2n,n)/(n+1)).

%C This is the reciprocal of the e.g.f. for the Catalan numbers.

%e 1, -1, 0, 1/6, 1/12, -1/60, -7/180, -13/1008, 169/20160, 233/25920, 17/14175, -18847/6652800, -43957/23950080, 26023/141523200, 429007/544864320, 31505483/100590336000, ...

%Y Cf. A000108, A178957 (denominators), A178955, A144186/A144187.

%K sign,frac

%O 0,7

%A _N. J. A. Sloane_, Dec 31 2010

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Last modified February 28 23:19 EST 2020. Contains 332353 sequences. (Running on oeis4.)