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A116087
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Number of distinct prime factors of P(F(n)) where F(n) is the Fibonacci number and P(n) is the unrestricted partition number.
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1
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0, 0, 0, 1, 1, 1, 2, 1, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 8, 5, 7, 8, 10, 6
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OFFSET
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0,7
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LINKS
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FORMULA
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EXAMPLE
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a(14)=3 because F(14)=377 and P(377)=2389 x 16197169 x 41263051.
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MAPLE
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with(combinat): with(numtheory): a:=n->nops(factorset(numbpart(fibonacci(n)))): seq(a(n), n=0..18); # Emeric Deutsch, Jul 26 2006
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MATHEMATICA
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Table[PrimeNu[PartitionsP[Fibonacci[n]]], {n, 0, 50}] (* G. C. Greubel, May 16 2017 *)
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PROG
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(PARI) A116087(n)={ omega(numbpart(fibonacci(n))) ; }
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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