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A051348
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a(n) = F(n) / Product_{p|n} F(p), where F(k) is k-th Fibonacci number and the p's in product are the distinct primes dividing n.
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1
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1, 1, 1, 3, 1, 4, 1, 21, 17, 11, 1, 72, 1, 29, 61, 987, 1, 1292, 1, 1353, 421, 199, 1, 23184, 15005, 521, 98209, 24447, 1, 83204, 1, 2178309, 19801, 3571, 141961, 7465176, 1, 9349, 135721, 20466831, 1, 10304396, 1, 7880997, 113490317, 64079, 1
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OFFSET
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1,4
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LINKS
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FORMULA
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EXAMPLE
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a(15) = F(15) / (F(3) * F(5)) = 610 / (2*5) = 61.
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MATHEMATICA
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fib[n_]:=Fibonacci[n]/Times@@(Fibonacci[#]&/@Transpose[ FactorInteger[ n]][[1]]); Array[fib, 50] (* Harvey P. Dale, May 19 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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