id:A158584 - OEIS Search Results

Search: id:A158584

Displaying 1-1 of 1 results found.

page 1

The integer part of the geometric mean of the prime factors of n with multiplicity.

+0
1

2, 3, 1, 5, 2, 7, 1, 3, 3, 11, 2, 13, 3, 3, 1, 17, 2, 19, 2, 4, 4, 23, 2, 4, 5, 3, 3, 29, 3, 31, 1, 5, 5, 5, 2, 37, 6, 6, 2, 41, 3, 43, 3, 3, 6, 47, 2, 7, 3, 7, 3, 53, 2, 7, 2, 7, 7, 59, 2, 61, 7, 3, 1, 8, 4, 67, 4, 8, 4, 71, 2, 73, 8, 4, 4, 8, 4, 79, 2, 3, 9, 83, 3, 9, 9, 9, 3, 89, 3, 9, 4, 9, 9, 9, 2, 97 (list; graph; listen)

	OFFSET	`2,1`
	COMMENT	`We do not begin with the unit 1 because it has no prime factors. Conjecture:` `The sequence contains the the set of prime numbers more than once.`
	FORMULA	`The geometric mean is the nth root of the product of n numbers.` `Gm = (a(1)a(2)...*a(n))^(1/n).`
	EXAMPLE	`12=223 has 3 factors; 12^(1/3) = 2.289428... so 2 is in the 11th position in` `the sequence.`
	PROGRAM	`(PARI) g(n) = for(x=2, n, print1(floor(x^(1/bigomega(x)))", "))`
	CROSSREFS	`Sequence in context: A055023 A126773 A134194 this_sequence A086112 A138798 A134734` `Adjacent sequences: A158581 A158582 A158583 this_sequence A158585 A158586 A158587`
	KEYWORD	`nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)hotmail.com), Mar 21 2009`

page 1

Search completed in 0.002 seconds

Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

AT&T Labs Research