id:A003964 - OEIS Search Results

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Fully multiplicative with a(p(k)) = partition(k+1) for k-th prime p.

+0
4

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 14, 15, 16, 22, 18, 30, 20, 21, 22, 42, 24, 25, 30, 27, 28, 56, 30, 77, 32, 33, 44, 35, 36, 101, 60, 45, 40, 135, 42, 176, 44, 45, 84, 231, 48, 49, 50, 66, 60, 297, 54, 55, 56, 90, 112, 385, 60, 490, 154, 63, 64, 75, 66, 627, 88, 126, 70 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`If n = Product p(k)^e(k) then a(n) = Product partition(k+1)^e(k).` `Multiplicative with a(p^e) = A000041(A000720(p)+1)^e. - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.`
	CROSSREFS	`Sequence in context: A029958 A048324 A048337 this_sequence A023781 A135578 A050607` `Adjacent sequences: A003961 A003962 A003963 this_sequence A003965 A003966 A003967`
	KEYWORD	`nonn,mult`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com), njas`
	EXTENSIONS	`Description corrected and sequence extended by David W. Wilson (davidwwilson(AT)comcast.net).`

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

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