id:A038575 - OEIS Search Results

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Number of prime factors of n-th Fibonacci number, with multiplicity.

+0
3

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

	OFFSET	`0,7`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..1000 (derived from Kelly's data)` `Blair Kelly, Fibonacci and Lucas Factorizations` `Eric Weisstein's World of Mathematics, Fibonacci Number`
	EXAMPLE	`a(12) = 6 because Fibonacci(12) = 144 = 2^4 * 3^2 has 6 prime factors.`
	MAPLE	`with(numtheory):with(combinat):a:=proc(n) if n=0 then 0 else bigomega(fibonacci(n)) fi end: seq(a(n), n=0..102); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 11 2008`
	MATHEMATICA	`Join[{0, 0}, Table[Plus@@(Transpose[FactorInteger[Fibonacci[n]]][[2]]), {n, 3, 102}]]`
	CROSSREFS	`Cf. A022307 (number of distinct prime factors), A086597 (number of primitive prime factors).` `Sequence in context: A021888 A115310 A139381 this_sequence A033178 A029418 A144148` `Adjacent sequences: A038572 A038573 A038574 this_sequence A038576 A038577 A038578`
	KEYWORD	`nonn`
	AUTHOR	`Jeff Burch (gburch(AT)erols.com)`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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