A158829 Antidiagonal sums of square array A158825, in which row n lists the coefficients of the n-th iteration of x*C(x), where C(x) is the Catalan function (A000108).

1, 1, 2, 5, 15, 52, 202, 861, 3972, 19648, 103500, 577443, 3396804, 20988116, 135770140, 916936351, 6449233093, 47137434787, 357331341987, 2804582808108, 22754919576652, 190578011064394, 1645490708244886, 14629351150837605

Offset

1,3

Links

Table of n, a(n) for n=1..24.

Prog

(PARI) {a(n)=local(F=serreverse(x-x^2+O(x^(n+1))), G=x, ADS=0); for(k=1, n, G=x; for(i=1, n-k, G=subst(F, x, G)); ADS=ADS+polcoeff(G, k)); ADS}

Crossrefs

Cf. A158825, A158826, A158827, A158828.

Sequence in context: A108304 A220913 A287666 * A306551 A110038 A343666

Adjacent sequences: A158826 A158827 A158828 * A158830 A158831 A158832

Keyword

nonn

Author

Paul D. Hanna, Mar 28 2009

Status

approved