A027337 - OEIS

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A027337

Number of partitions of n that do not contain 3 as a part.

1, 1, 2, 2, 4, 5, 8, 10, 15, 19, 27, 34, 47, 59, 79, 99, 130, 162, 209, 259, 330, 407, 512, 628, 783, 956, 1181, 1435, 1760, 2129, 2594, 3124, 3784, 4539, 5468, 6534, 7834, 9327, 11132, 13208, 15701, 18568, 21989, 25923, 30592, 35960, 42297, 49579, 58139, 67967 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	LINKS	`Table of n, a(n) for n=0..49.`
	FORMULA	`G.f.: (1-x^3) Product_{m>0} 1/(1-x^m).`
	PROG	`(PARI) a(n)=if(n<0, 0, polcoeff((1-x^3)/eta(x+x*O(x^n)), n))`
	CROSSREFS	`Cf. A027336, A027338.` `a(n)=A000041(n)-A000041(n-3).` `Sequence in context: A035991 A036002 A104504 * A193146 A027193 A126796` `Adjacent sequences: A027334 A027335 A027336 * A027338 A027339 A027340`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling`
	STATUS	`approved`

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Last modified June 19 16:26 EDT 2013. Contains 226415 sequences.