id:A128594 - OEIS Search Results

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Column 2 of triangle A128592; a(n) = coefficient of q^(2n+6) in the q-analog of the odd double factorials (2n+5)!! for n>=0.

+0
4

1, 12, 97, 696, 4784, 32230, 214978, 1426566, 9441417, 62405645, 412278981, 2723566163, 17996243101, 118957645301, 786700165122, 5205396517853, 34461624895701, 228274455988134, 1512920531980961, 10032446308837778 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = [q^(2n+6)] Product_{j=1..n+3} (1-q^(2j-1))/(1-q) for n>=0.`
	PROGRAM	`(PARI) {a(n)=polcoeff(prod(j=1, n+3, (1-q^(2j-1))/(1-q)), 2n+6, q)}`
	CROSSREFS	`Cf. A128592; A128080; A001147 ((2n-1)!!); A128593 (column 1), A128595 (row sums).` `Sequence in context: A016753 A078605 A021029 this_sequence A166793 A041268 A159449` `Adjacent sequences: A128591 A128592 A128593 this_sequence A128595 A128596 A128597`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Mar 12 2007`

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.

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