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Search: id:A112622
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| A112622 |
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If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = product_{p|n} b(p,n)^b(p,n). |
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+0
1
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| 1, 1, 1, 4, 1, 1, 1, 27, 4, 1, 1, 4, 1, 1, 1, 256, 1, 4, 1, 4, 1, 1, 1, 27, 4, 1, 27, 4, 1, 1, 1, 3125, 1, 1, 1, 16, 1, 1, 1, 27, 1, 1, 1, 4, 4, 1, 1, 256, 4, 4, 1, 4, 1, 27, 1, 27, 1, 1, 1, 4, 1, 1, 4, 46656, 1, 1, 1, 4, 1, 1, 1, 108, 1, 1, 4, 4, 1, 1, 1, 256, 256, 1, 1, 4, 1, 1, 1, 27, 1, 4, 1, 4
(list; graph; listen)
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OFFSET
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2,4
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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45 = 3^2 * 5^1. So a(45) = 2^2 * 1^1 = 4.
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MATHEMATICA
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f[n_] := Block[{fi = Last@Transpose@FactorInteger@n}, Times @@ (fi^fi)]; Rest@Array[f, 93] (* Robert G. Wilson v *)
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PROGRAM
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(PARI) a(n)=local(v, r, i); v=factorint(n); r=1; for(i=1, matsize(v)[1], r*=v[i, 2]^v[i, 2]); r (Herrgesell)
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CROSSREFS
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Sequence in context: A037291 A063851 A124777 this_sequence A119591 A010125 A010324
Adjacent sequences: A112619 A112620 A112621 this_sequence A112623 A112624 A112625
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Dec 25 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Lambert Herrgesell (zero815(AT)googlemail.com), Dec 27 2005
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