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A111141
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GCD(F(n),A113222(n)), where F(n) is n-th Fibonacci number.
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0
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1, 1, 2, 3, 5, 1, 13, 21, 34, 1, 89, 1, 233, 1, 1, 987, 1597, 1, 4181, 1, 1, 1, 28657, 23, 75025, 1, 196418, 1, 514229, 8, 1346269, 2178309, 1, 1, 1, 1, 24157817, 1, 1, 1, 165580141, 8, 433494437, 1, 1, 1, 2971215073, 23, 7778742049, 1, 1, 1, 53316291173
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| 12 = 2^2 * 3^1. So a(12) = GCD(F(12),F(2^2) + F(3^1)) = GCD(144, 5) = 1.
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MATHEMATICA
| f[n_] := GCD[ Fibonacci[n], Plus @@ (Fibonacci[ #[[1]]^#[[2]]] & /@ FactorInteger[n])]; Table[ f[n], {n, 53}] (* Robert G. Wilson v *)
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CROSSREFS
| Cf. A113222.
Sequence in context: A030790 A001578 A178763 * A171035 A094122 A082117
Adjacent sequences: A111138 A111139 A111140 * A111142 A111143 A111144
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Oct 18 2005
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 21 2005
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