id:A042940 - OEIS Search Results

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Convolution of Catalan numbers A000108(n+1), n >= 0, with A038846.

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1, 18, 197, 1694, 12586, 84708, 530733, 3149542, 17910398, 98409532, 525628194, 2741723180, 14015785460, 70417793992, 348499310973, 1702076053686, 8216326834550, 39251274184780, 185770424237398, 871859230081092 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Also convolution of A018218(n+1), n >= 0, with itself; also convolution of A041001 with A000302 (powers of 4); also convolution of A041005 with A000984 (central binomial coefficients).`
	FORMULA	`a(n) = binomial(n+4, 2)((n+8)A001700(2)4^(n+1)-A002457(n+4)/2)/A002457(2), A001700(2)= 10, A002457(2)=30; G.f. (c(x)^2)/(1-4x)^4, where c(x) = g.f. for Catalan numbers.`
	CROSSREFS	`Sequence in context: A022646 A004314 A125406 this_sequence A034727 A060532 A073397` `Adjacent sequences: A042937 A042938 A042939 this_sequence A042941 A042942 A042943`
	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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