id:A112779 - OEIS Search Results

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Largest exponent in the prime factorization of highly composite numbers (definition 1, A002182).

+0
6

0, 1, 2, 1, 2, 3, 2, 4, 2, 3, 2, 4, 3, 4, 3, 2, 4, 3, 4, 3, 5, 4, 6, 4, 3, 4, 5, 4, 3, 5, 4, 6, 4, 5, 4, 5, 6, 4, 3, 5, 4, 6, 4, 5, 4, 5, 6, 4, 6, 7, 5, 4, 4, 6, 4, 5, 4, 5, 6, 4, 6, 7, 5, 4, 4, 6, 5, 5, 4, 6, 5, 6, 4, 6, 7, 5, 4, 6, 5, 7, 6, 5, 6, 4, 4, 6, 7, 5, 5, 4, 6, 6, 5, 7, 6, 5, 6, 4, 7, 6, 7, 5, 7, 6, 8 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Each highly composite number can be written as the product of primorials (A002110). This is also the number of primorials used in the product.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..10000 (using Flammenkamp's data)` `Eric Weisstein's World of Mathematics, Highly Composite Number` `A. Flammenkamp, First 1200 highly composite numbers`
	EXAMPLE	`A002182(8) = 48 = 2^4*3, which has largest exponent 4, so a(8)=4.`
	CROSSREFS	`Cf. A002182, A002183, A108602, A112778, A112780, A112781.` `Sequence in context: A161103 A147301 A108380 this_sequence A029201 A071283 A029826` `Adjacent sequences: A112776 A112777 A112778 this_sequence A112780 A112781 A112782`
	KEYWORD	`nonn`
	AUTHOR	`Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 11 2005`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

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