id:A045530 - OEIS Search Results

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Convolution of A000108 (Catalan numbers) with A020922.

+0
4

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

	OFFSET	`0,2`
	COMMENT	`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: A086558 A077203 A090927 this_sequence A080188 A142433 A125458` `Adjacent sequences: A045527 A045528 A045529 this_sequence A045531 A045532 A045533`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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