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Search: id:A116087
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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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+0
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
(list; graph; listen)
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OFFSET
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0,7
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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 (deutsch(AT)duke.poly.edu), Jul 26 2006
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PROGRAM
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(PARI) A116087(n)={ omega(numbpart(fibonacci(n))) ; } { for(n=0, 80, print(A116087(n)) ; ) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 26 2008
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CROSSREFS
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Sequence in context: A082666 A057938 A048619 this_sequence A116921 A093068 A097357
Adjacent sequences: A116084 A116085 A116086 this_sequence A116088 A116089 A116090
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KEYWORD
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more,nonn
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Mar 15 2006
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 26 2006
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 26 2008
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