id:A045492 - OEIS Search Results

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Convolution of A000108 (Catalan numbers) with A020920.

+0
5

1, 19, 218, 1955, 15086, 105102, 679764, 4154403, 24281510, 136887322, 749032492, 3997228430, 20880823820, 107088473660, 540472210728, 2689562860323, 13217998697430, 64240718824930, 309108505173820 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Also convolution of A042985 with A000984 (central binomial coefficients); also convolution of A045724 with A000302 (powers of 4).`
	FORMULA	`a(n) = binomial(n+5, 4)(A000984(n+5)/A000984(4) - (4^(n+2))/(n+5))/2, A000984(n)=binomial(2n, n); G.f. c(x)/(1-4x)^(9/2) = (2-c(x))/(1-4x)^5, where c(x) = g.f. for Catalan numbers.`
	CROSSREFS	`Sequence in context: A099663 A115854 A009474 this_sequence A026892 A142487 A022743` `Adjacent sequences: A045489 A045490 A045491 this_sequence A045493 A045494 A045495`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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