id:A098491 - OEIS Search Results

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Number of partitions of n with parts occurring at most thrice and an even number of parts. Row sums of A098489.

+0
4

1, 0, 1, 1, 2, 3, 5, 6, 8, 11, 15, 19, 25, 32, 41, 52, 66, 83, 104, 129, 160, 197, 242, 296, 361, 438, 530, 640, 770, 923, 1105, 1318, 1569, 1864, 2208, 2611, 3082, 3628, 4264, 5003, 5858, 6848, 7993, 9312, 10833, 12584, 14595, 16904, 19552, 22582, 26049 (list; graph; listen)

	OFFSET	`0,5`
	REFERENCES	`A. Fink, R. K. Guy and M. Krusemeyer, Partitions with parts occurring at most thrice, in preparation.`
	FORMULA	`a(n) = (A001935(n)+(-1)^n*A010054(n))/2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 16 2004`
	CROSSREFS	`Equals A001935 - A098492. Differs from A098492 at triangular indices.` `Sequence in context: A127312 A081830 A117517 this_sequence A107947 A120768 A002384` `Adjacent sequences: A098488 A098489 A098490 this_sequence A098492 A098493 A098494`
	KEYWORD	`nonn`
	AUTHOR	`Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 12 2004`
	EXTENSIONS	`More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 16 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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