id:A088531 - OEIS Search Results

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Numerator of Bigomega(n!)/Omega(n!).

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1, 1, 2, 5, 7, 2, 11, 13, 15, 16, 19, 10, 11, 4, 14, 29, 32, 33, 9, 19, 5, 41, 5, 47, 49, 52, 55, 28, 59, 60, 65, 67, 69, 71, 75, 19, 13, 20, 7, 85, 88, 89, 46, 95, 97, 98, 103, 7, 36, 22, 113, 57, 59, 15, 31, 63, 8, 129, 133, 67, 68, 139, 145, 49, 25, 151, 154, 156, 159, 8, 33 (list; graph; listen)

	OFFSET	`2,3`
	FORMULA	`Let B = number of prime divisors of n! with multiplicity, O = number of distinct prime divisors of n! Then a(n) = numerator of B/O.`
	EXAMPLE	`a(4!) = bigomega(4!) / omega(4!) = 4/2 = 2`
	PROGRAM	`(PARI) for(x=2, 100, x1=x!; y=bigomega(x1)/omega(x1); print1(numerator(y)", "))`
	CROSSREFS	`Sequence in context: A004576 A093200 A095795 this_sequence A097964 A133133 A024710` `Adjacent sequences: A088528 A088529 A088530 this_sequence A088532 A088533 A088534`
	KEYWORD	`nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Nov 16 2003`
	EXTENSIONS	`Edited by T. D. Noe (noe(AT)sspectra.com), Apr 14 2009`

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.

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