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A158840 Row sums of triangle A158835. 5
1, 2, 7, 42, 374, 4391, 63637, 1095362, 21823226, 493898216, 12515588806, 351062669154, 10798972965266, 361471373319171, 13080119556342713, 508813238759275712, 21174032937728251318, 938646693399848483498 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Triangle A158835 transforms diagonals in the array A158825 of coefficients of successive iterations of x*C(x) where C(x) is the Catalan function (A000108).

LINKS

Table of n, a(n) for n=0..17.

PROG

(PARI) {a(n)=local(F=x, CAT=serreverse(x-x^2+x*O(x^(n+2))), M, N, P); M=matrix(n+2, n+2, r, c, F=x; for(i=1, r+c-2, F=subst(F, x, CAT)); polcoeff(F, c)); N=matrix(n+1, n+1, r, c, M[r, c]); P=matrix(n+1, n+1, r, c, M[r+1, c]); sum(k=0, n, (P~*N~^-1)[n+1, k+1])}

CROSSREFS

Cf. A158835, A158836, A158837, A158838, A158839.

Sequence in context: A109172 A131682 A317349 * A038052 A066383 A011802

Adjacent sequences:  A158837 A158838 A158839 * A158841 A158842 A158843

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Mar 28 2009

STATUS

approved

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Last modified December 7 03:00 EST 2019. Contains 329836 sequences. (Running on oeis4.)