A178955 E.g.f. is inverse of e.g.f. for Catalan numbers.

1, -1, 0, 1, 2, -2, -28, -65, 338, 3262, 4352, -113082, -879140, 1145012, 68641120, 409571279, -3075414734, -67796919090, -235926569056, 6635196777226, 98653814115636, -51631812077716, -17882630766156440, -190179698567684014, 1532579370407751292, 62028205219536446948, 405883930741148425152, -11224575706163698420700, -269584771812788695251352, -338220005828087037972744

Offset: 0

Author

N. J. A. Sloane, Dec 31 2010

Keywords

• sign

References

• Anthony Mendes and Jeffrey Remmel, Generating functions from symmetric functions, Preliminary version of book, available from Jeffrey Remmel's home page http://math.ucsd.edu/~remmel/, see p. 130.

Crossrefs

See A178956/A178957 for the coefficients in the e.g.f. Cf. A000108, A144186/A144187.

Formula

The e.g.f. is 1/(Sum_{n >= 0} (x^n/n!)*binomial(2n,n)/(n+1)).