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A045622 Convolution of A000108 (Catalan numbers) with A045543. 1
1, 25, 362, 3973, 36646, 299530, 2238676, 15613741, 103054094, 650194974, 3950996556, 23257207714, 133217073276, 745218012084, 4083224828328, 21966983072637, 116268166691358, 606474982072982, 3122157367765788 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Also convolution of A045530 with A000984 (central binomial coefficients); also convolution of A045505 with A000302 (powers of 4).

LINKS

Table of n, a(n) for n=1..19.

FORMULA

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

CROSSREFS

Sequence in context: A261972 A197678 A197536 * A130052 A059255 A227024

Adjacent sequences:  A045619 A045620 A045621 * A045623 A045624 A045625

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified March 19 11:10 EDT 2019. Contains 321329 sequences. (Running on oeis4.)