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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). 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 (list; graph; refs; listen; history; text; internal format)
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 A276722

Adjacent sequences:  A158826 A158827 A158828 * A158830 A158831 A158832

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Mar 28 2009

STATUS

approved

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Last modified December 16 06:18 EST 2019. Contains 330016 sequences. (Running on oeis4.)