id:A128552 - OEIS Search Results

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Column 2 of triangle A128545; a(n) is the coefficient of q^(2n+4) in the central q-binomial coefficient [2n+4,n+2].

+0
4

1, 3, 8, 18, 39, 75, 141, 251, 433, 724, 1185, 1892, 2972, 4588, 6981, 10480, 15553, 22821, 33164, 47746, 68163, 96542, 135747, 189550, 262997, 362691, 497339, 678300, 920417, 1242898, 1670688, 2235880, 2979809, 3955422, 5230471, 6891234 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Column 1 of triangle A128552 equals the partitions of n (A000041).`
	PROGRAM	`(PARI) a(n)=polcoeff(prod(j=n+3, 2n+4, 1-q^j)/prod(j=1, n+2, 1-q^j), 2n+4, q)`
	CROSSREFS	`Cf. A128545; A128553, A128554.` `Sequence in context: A131051 A117727 A117713 this_sequence A011377 A036385 A026635` `Adjacent sequences: A128549 A128550 A128551 this_sequence A128553 A128554 A128555`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Mar 10 2007`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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