id:A015723 - OEIS Search Results

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Number of parts in all partitions of n into distinct parts.

+0
10

1, 1, 3, 3, 5, 8, 10, 13, 18, 25, 30, 40, 49, 63, 80, 98, 119, 149, 179, 218, 266, 318, 380, 455, 541, 640, 760, 895, 1050, 1234, 1442, 1679, 1960, 2272, 2635, 3052, 3520, 4054, 4669, 5359, 6142, 7035, 8037, 9170, 10460, 11896, 13517 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`G.f.: Sum x^k/(1+x^k); k=1..inf * Product (1+x^m); m=1..inf. Convolution of A048272 and A000009. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 26 2002` `G.f.: Sum_{k=1..inf} kx^(k(k+1)/2)/Product_{i=1..k}(1-x^i) . - Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 21 2005`
	CROSSREFS	`Sequence in context: A107029 A123632 A039868 this_sequence A116645 A039872 A079965` `Adjacent sequences: A015720 A015721 A015722 this_sequence A015724 A015725 A015726`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`
	EXTENSIONS	`Extended and corrected by Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 24 2002`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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