id:A045724 - OEIS Search Results

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Convolution of Catalan numbers A000108 with A020918.

+0
5

1, 15, 142, 1083, 7266, 44758, 259356, 1435347, 7663898, 39761282, 201483204, 1001098462, 4891910100, 23565178380, 112118316088, 527674017411, 2459747256138, 11368724035210, 52145629874100, 237541552456362 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Also convolution of A001700 with A038845; also convolution of A029887 with A000302 (powers of 4); also convolution of A042941 with A000984 (central binomial coefficients).`
	FORMULA	`a(n) = binomial(n+4, 3)A000984(n+4)/(2A000984(3)) - (n+3)(n+2)4^n, A000984(n)=binomial(2n, n); G.f. c(x)/(1-4x)^(7/2) = (2-c(x))/(1-4*x)^4, where c(x) = g.f. for Catalan numbers.`
	CROSSREFS	`Sequence in context: A026859 A096046 A093117 this_sequence A071700 A133126 A092398` `Adjacent sequences: A045721 A045722 A045723 this_sequence A045725 A045726 A045727`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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