id:A112778 - OEIS Search Results

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Number of prime factors (counted with multiplicity) of highly composite numbers (definition 1, A002182).

+0
5

0, 1, 2, 2, 3, 4, 4, 5, 4, 5, 5, 6, 6, 7, 6, 6, 7, 7, 8, 8, 9, 9, 10, 9, 8, 10, 10, 9, 9, 10, 10, 11, 10, 11, 11, 11, 12, 10, 10, 11, 11, 12, 11, 12, 12, 12, 13, 12, 13, 14, 13, 13, 12, 14, 12, 13, 13, 13, 14, 13, 14, 15, 14, 14, 13, 15, 15, 14, 14, 16, 14, 15, 14, 15, 16, 15, 15, 16 (list; graph; listen)

	OFFSET	`1,3`
	LINKS	`Eric Weisstein's World of Mathematics, Highly Composite Number`
	FORMULA	`a(n) = A001222(A002182(n)).`
	EXAMPLE	`A002182(8) = 48 = 2^4*3, which has 5 prime factors, counted with multiplicity, so a(8)=5.`
	CROSSREFS	`Cf. A002182, A002183, A108602, A112779, A112780, A112781.` `Sequence in context: A049980 A141525 A071475 this_sequence A080594 A089575 A023190` `Adjacent sequences: A112775 A112776 A112777 this_sequence A112779 A112780 A112781`
	KEYWORD	`nonn`
	AUTHOR	`Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 11 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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