A178956 - OEIS

A178956

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

1, -1, 0, 1, 1, -1, -7, -13, 169, 233, 17, -18847, -43957, 26023, 429007, 31505483, -31381783, -753299101, -7372705283, 195152846389, 632396244331, -52258919107, -447065769153911, -13584264183406001, 34831349327448893, 674219621951483119, 2113978805943481381, -6602691591860999071, -370308752490094361609, -95867348590727618473, 752151788353653780085507

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OFFSET

0,7

COMMENTS

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

LINKS

Table of n, a(n) for n=0..30.

EXAMPLE

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, ...

CROSSREFS

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

Sequence in context: A198947 A342717 A050946 * A319612 A247946 A210465

Adjacent sequences: A178953 A178954 A178955 * A178957 A178958 A178959

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Dec 31 2010

STATUS

approved