id:A023003 - OEIS Search Results

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Number of partitions of n into parts of 4 kinds.

+0
5

1, 4, 14, 40, 105, 252, 574, 1240, 2580, 5180, 10108, 19208, 35693, 64960, 116090, 203984, 353017, 602348, 1014580, 1688400, 2778517, 4524760, 7296752, 11658920, 18468245, 29015700, 45235414, 70005376, 107585845, 164245380, 249162620 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..500` `Index entries for expansions of Product_{k >= 1} (1-x^k)^m`
	FORMULA	`G.f.: Product_{m>=1} 1/(1-x^m)^4.`
	PROGRAM	`(PARI) \ps100 for(n=0, 100, print1((polcoeff(1/eta(x)^4, n, x)), ", "))`
	CROSSREFS	`Adjacent sequences: A023000 A023001 A023002 this_sequence A023004 A023005 A023006` `Sequence in context: A093160 A066368 A121593 this_sequence A144068 A001872 A054443`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net)`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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