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A113178
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Sum{p|n} F(p), where F(p) is the pth Fibonacci number and where the sum is over the distict prime divisors of n.
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1
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0, 1, 2, 1, 5, 3, 13, 1, 2, 6, 89, 3, 233, 14, 7, 1, 1597, 3, 4181, 6, 15, 90, 28657, 3, 5, 234, 2, 14, 514229, 8, 1346269, 1, 91, 1598, 18, 3, 24157817, 4182, 235, 6, 165580141, 16, 433494437, 90, 7, 28658, 2971215073, 3, 13, 6, 1599, 234
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| Additive with a(p^e) = F(p).
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EXAMPLE
| 12 = 2^2 * 3^1, so a(12) = F(2) + F(3) = 1 + 2 = 3.
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MATHEMATICA
| b[t_]:=Fibonacci[First[t]] a[n_]:=Apply[Plus, Map[b, FactorInteger[n]]] (Peuha)
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CROSSREFS
| Cf. A113177, A000045.
Sequence in context: A179218 A131119 A114901 * A108362 A171090 A141506
Adjacent sequences: A113175 A113176 A113177 * A113179 A113180 A113181
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Oct 16 2005
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EXTENSIONS
| More terms from Esa Peuha (esa.peuha(AT)helsinki.fi), Oct 26 2005
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