id:A087175 - OEIS Search Results

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Number of distinct primes dividing the n-th partition number.

+0
1

0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 3, 5, 4, 3, 3, 4, 5, 3, 5, 4, 3, 5, 2, 4, 2, 4, 3, 4, 3, 3, 3, 4, 6, 2, 1, 4, 4, 4, 2, 4, 3, 5, 2, 5, 2, 4, 3, 2, 3, 2, 2, 6, 2, 4, 7, 3, 2, 5, 3, 3 (list; graph; listen)

	OFFSET	`1,7`
	COMMENT	`a(n) = A001221(A000041(n)).`
	LINKS	`Eric Weisstein's World of Mathematics, Distinct Prime Factors` `Eric Weisstein's World of Mathematics, Partition Function`
	EXAMPLE	`A000041(97) = 133230930 = 235729131167, therefore a(97)=7.`
	CROSSREFS	`Cf. A085561.` `Adjacent sequences: A087172 A087173 A087174 this_sequence A087176 A087177 A087178` `Sequence in context: A116464 A125585 A109973 this_sequence A071820 A055092 A130326`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 23 2003`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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