id:A113903 - OEIS Search Results

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Sum of omega(n!) and bigomega(n!).

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0, 0, 2, 4, 6, 8, 10, 12, 15, 17, 19, 21, 24, 26, 28, 30, 34, 36, 39, 41, 44, 46, 48, 50, 54, 56, 58, 61, 64, 66, 69, 71, 76, 78, 80, 82, 86, 88, 90, 92, 96, 98, 101, 103, 106, 109, 111, 113, 118, 120, 123, 125, 128, 130, 134, 136, 140, 142, 144, 146, 150, 152, 154, 157 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`omega(x!) = number of primes <= x or Pi(x)`
	FORMULA	`omega(x): number of distinct prime divisors of x. bigomega(x): number of prime divisors of x, counted with multiplicity.`
	PROGRAM	`(PARI) omegafactpbigomegafact(n) = { local(x); for(x=0, n, print1(omega(x!)+bigomega(x!)", ") ) }`
	CROSSREFS	`Sequence in context: A140955 A111905 A064997 this_sequence A130261 A011860 A049445` `Adjacent sequences: A113900 A113901 A113902 this_sequence A113904 A113905 A113906`
	KEYWORD	`easy,nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Jan 29 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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