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Search: id:A113178
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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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+0
2
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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; listen)
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OFFSET
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1,3
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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FORMULA
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Additive with a(p^e) = F(p).
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EXAMPLE
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12 = 2^2 * 3^1, so a(12) = F(2) + F(3) = 1 + 2 = 3.
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MATHEMATICA
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b[t_]:=Fibonacci[First[t]] a[n_]:=Apply[Plus, Map[b, FactorInteger[n]]] (Peuha)
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CROSSREFS
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Cf. A113177, A000045.
Sequence in context: A085261 A131119 A114901 this_sequence A108362 A141506 A056242
Adjacent sequences: A113175 A113176 A113177 this_sequence A113179 A113180 A113181
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Oct 16 2005
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EXTENSIONS
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More terms from Esa Peuha (esa.peuha(AT)helsinki.fi), Oct 26 2005
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