A003964 - OEIS

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A003964

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

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; refs; listen; history; internal format)

	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 * A023781 A135578 A050607` `Adjacent sequences: A003961 A003962 A003963 * A003965 A003966 A003967`
	KEYWORD	`nonn,mult`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com), N. J. A. Sloane (njas(AT)research.att.com).`
	EXTENSIONS	`Description corrected and sequence extended by David W. Wilson (davidwwilson(AT)comcast.net).`

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.