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A038697 Convolution of A000917 with A000984 (central binomial coefficients). 0
3, 26, 163, 894, 4558, 22196, 104739, 483062, 2189530, 9789900, 43295118, 189749676, 825364668, 3567219688, 15332925731, 65591312550, 279415474594, 1185903736412, 5016725589402, 21159849864964, 89012979703940 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also convolution of A007054 (Super ballot numbers) with A002697;

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n)= n*4^(n+1)+binomial(2*n+3, n+1), G.f.: c(x)*(4-c(x))/(1-4*x)^2, where c(x) = g.f. for Catalan numbers A000108;

CROSSREFS

A007054, A038665, A038679, A000917, A000108, A000984, A002697.

Sequence in context: A265467 A252872 A121626 * A226351 A091262 A121121

Adjacent sequences:  A038694 A038695 A038696 * A038698 A038699 A038700

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified August 14 17:44 EDT 2018. Contains 313751 sequences. (Running on oeis4.)