

A158829


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


4



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

1,3


LINKS

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


PROG

(PARI) {a(n)=local(F=serreverse(xx^2+O(x^(n+1))), G=x, ADS=0); for(k=1, n, G=x; for(i=1, nk, 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 A276722
Adjacent sequences: A158826 A158827 A158828 * A158830 A158831 A158832


KEYWORD

nonn


AUTHOR

Paul D. Hanna, Mar 28 2009


STATUS

approved



