id:A055923 - OEIS Search Results

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Number of partitions of n in which each part occurs a prime number (or 0) times.

+0
3

1, 0, 1, 1, 1, 1, 3, 2, 3, 4, 4, 6, 8, 8, 10, 13, 13, 20, 20, 24, 26, 38, 35, 51, 51, 65, 67, 92, 86, 121, 117, 153, 155, 209, 197, 270, 262, 339, 341, 444, 425, 565, 555, 703, 711, 903, 884, 1135, 1128, 1397, 1430, 1766, 1757, 2193, 2214, 2691, 2762, 3344 (list; graph; listen)

	OFFSET	`0,7`
	FORMULA	`EULER transform of b where b has g.f. Sum {k>0} c(k)x^k/(1-x^k) where c is inverse EULER transform of characteristic function of prime numbers.` `G.f.: Product(1+Sum(x^(iprime(k)), k=1..infinity), i=1..infinity). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 08 2005`
	CROSSREFS	`Cf. A000041, A007690, A055922.` `Sequence in context: A077070 A075988 A029150 this_sequence A035634 A091563 A035366` `Adjacent sequences: A055920 A055921 A055922 this_sequence A055924 A055925 A055926`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Jun 23 2000`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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