id:A129275 - OEIS Search Results

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Column 1 of triangle A129274; a(n) is the coefficient of q^(n+2) in the squared q-factorial of n+2.

+0
10

1, 10, 71, 474, 3103, 20190, 131204, 853176, 5555674, 36237258, 236763125, 1549496420, 10156512792, 66669881442, 438226458380, 2884072387268, 19002479773355, 125335000366692, 827479642104143, 5468060901435850 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`Eric Weisstein's World of Mathematics, q-Factorial from MathWorld.`
	FORMULA	`a(n) = [q^(n+2)] Product_{i=1..n+2} { (1-q^i)/(1-q) }^2.`
	PROGRAM	`(PARI) a(n)=polcoeff(prod(i=1, n+2, (1-x^i)/(1-x))^2, n+2)`
	CROSSREFS	`Cf. A129274.` `Sequence in context: A016218 A026772 A016098 this_sequence A049672 A037579 A166791` `Adjacent sequences: A129272 A129273 A129274 this_sequence A129276 A129277 A129278`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Apr 07 2007`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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