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A045530 Convolution of A000108 (Catalan numbers) with A020922. 3
1, 23, 310, 3195, 27866, 216566, 1546028, 10338515, 65635570, 399429602, 2346750900, 13384232030, 74417751940, 404759481420, 2159510136408, 11327603405955, 58528412321250, 298354368109930, 1502525977613540 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also convolution of A045505 with A000984 (central binomial coefficients); also convolution of A045492 with A000302 (powers of 4).

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = binomial(n+6, 5)*(A000984(n+6)/A000984(5) - 4^(n+1)/((n+6)/5))/2, A000984(n)=binomial(2*n, n); G.f. c(x)/(1-4*x)^(11/2), where c(x) = g.f. for Catalan numbers.

CROSSREFS

Sequence in context: A077504 A086558 A090927 * A080188 A142433 A234234

Adjacent sequences:  A045527 A045528 A045529 * A045531 A045532 A045533

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified December 11 07:38 EST 2019. Contains 329914 sequences. (Running on oeis4.)