A042985 - OEIS

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A042985

Convolution of A000108 (Catalan numbers) with A038846.

1, 17, 178, 1477, 10654, 69930, 428772, 2496813, 13962982, 75582078, 398302268, 2052354850, 10375356460, 51596749300, 252953904072, 1224672639357, 5863899363510, 27801377704310, 130648178243660, 609082400931158 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Also convolution of A045724 with A000984 (central binomial coefficients); also convolution of A042941 with A000302 (powers of 4).`
	FORMULA	`a(n) = binomial(n+4, 3)(4^(n+1) - A000984(n+4)/A000984(3))/2, A000984(n)=binomial(2n, n); G.f. c(x)/(1-4*x)^4, where c(x) = g.f. for Catalan numbers.`
	CROSSREFS	`Sequence in context: A119343 A164744 A121793 * A125405 A130651 A142214` `Adjacent sequences: A042982 A042983 A042984 * A042986 A042987 A042988`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified February 14 19:37 EST 2012. Contains 205663 sequences.