id:A129278 - OEIS Search Results

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Column 2 of triangle A129276; a(n) is the coefficient of q^(2n+2) in the squared q-factorial of n+2.

+0
11

1, 8, 106, 1558, 23589, 360499, 5530445, 85040656, 1310211074, 20223812711, 312728963211, 4844238210807, 75161494829564, 1167972975649534, 18175688264003359, 283219807758089612, 4418626917709277371 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`Eric Weisstein's World of Mathematics, q-Factorial from MathWorld.`
	FORMULA	`a(n) = [q^(2n+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, 2*n+2)`
	CROSSREFS	`Cf. A129276, A129277.` `Sequence in context: A024358 A055406 A155632 this_sequence A112701 A099695 A000845` `Adjacent sequences: A129275 A129276 A129277 this_sequence A129279 A129280 A129281`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Apr 07 2007`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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