id:A024994 - OEIS Search Results

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Number of periodic partitions of n: each part occurs more than once and the same number of times.

+0
5

1, 1, 1, 2, 1, 4, 1, 4, 3, 5, 1, 10, 1, 7, 6, 10, 1, 16, 1, 17, 8, 14, 1, 31, 4, 20, 11, 31, 1, 48, 1, 42, 15, 40, 9, 79, 1, 56, 21, 87, 1, 111, 1, 105, 41, 106, 1, 185, 6, 157, 41, 187, 1, 254, 16, 259, 57, 258, 1, 425, 1, 342, 92, 432, 22, 557, 1, 554, 107, 627, 1, 875, 1, 762, 175, 922, 18, 1173 (list; graph; listen)

	OFFSET	`1,4`
	FORMULA	`a(n) = Sum(q(k)), where k divides n, k < n, where q(n) = A000009(n), distinct partitions - Alford Arnold (Alford1940(AT)aol.com)`
	EXAMPLE	`E.g. 6 = 1+1+1+1+1+1 = 2+2+2 = 3+3 = 2+1+2+1, so a(6)=4.`
	CROSSREFS	`Cf. A000009, A047966.` `Sequence in context: A107457 A112350 A063717 this_sequence A051953 A079277 A066452` `Adjacent sequences: A024991 A024992 A024993 this_sequence A024995 A024996 A024997`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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