A045530 - OEIS

This site is supported by donations to The OEIS Foundation.

A045530

Convolution of A000108 (Catalan numbers) with A020922.

1, 23, 310, 3195, 27866, 216566, 1546028, 10338515, 65635570, 399429602, 2346750900, 13384232030, 74417751940, 404759481420, 2159510136408, 11327603405955, 58528412321250, 298354368109930, 1502525977613540 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Also convolution of A045505 with A000984 (central binomial coefficients); also convolution of A045492 with A000302 (powers of 4).`
	FORMULA	`a(n) = binomial(n+6, 5)(A000984(n+6)/A000984(5) - 4^(n+1)/((n+6)/5))/2, A000984(n)=binomial(2n, 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 A125458` `Adjacent sequences: A045527 A045528 A045529 * A045531 A045532 A045533`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

Content is available under The OEIS End-User License Agreement .

Last modified February 14 04:02 EST 2012. Contains 205570 sequences.