id:A045450 - OEIS Search Results

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Number of partitions of n into a prime number of distinct prime parts.

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1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 3, 0, 4, 2, 4, 3, 4, 2, 5, 3, 5, 3, 5, 3, 6, 5, 5, 5, 7, 5, 9, 5, 7, 8, 8, 6, 11, 8, 11, 9, 12, 10, 14, 11, 15, 12, 15, 13, 18, 17, 17, 16, 18, 18, 23, 20, 22, 23, 25, 23, 30, 26, 28, 29, 32, 32, 36, 34, 38, 38, 41, 41, 47, 45, 47, 48, 50, 54, 58, 57, 60, 63 (list; graph; listen)

	OFFSET	`5,6`
	EXAMPLE	`a(50) = 15 because there are 15 partitions of 50 into a prime number of distinct prime parts:` `2+7+11+13+17 = 2+5+11+13+19 = 2+5+7+17+19 = 2+5+7+13+23 = 2+3+5+17+23 = 2+3+5+11+29 = 2+19+29 = 2+17+31 = 2+11+37 = 2+7+41 = 2+5+43 = 19+31 = 13+37 = 7+43 = 3+47.`
	CROSSREFS	`Cf. A000586.` `Sequence in context: A029223 A129679 A029345 this_sequence A029222 A125922 A076608` `Adjacent sequences: A045447 A045448 A045449 this_sequence A045451 A045452 A045453`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 21 2003`

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

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