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A167300
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Totally multiplicative sequence with a(p) = 8*(p-2) for prime p.
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1
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1, 0, 8, 0, 24, 0, 40, 0, 64, 0, 72, 0, 88, 0, 192, 0, 120, 0, 136, 0, 320, 0, 168, 0, 576, 0, 512, 0, 216, 0, 232, 0, 576, 0, 960, 0, 280, 0, 704, 0, 312, 0, 328, 0, 1536, 0, 360, 0, 1600, 0, 960, 0, 408, 0, 1728, 0, 1088, 0, 456, 0, 472, 0, 2560, 0, 2112, 0
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OFFSET
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1,3
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LINKS
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FORMULA
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Multiplicative with a(p^e) = (8*(p-2))^e. If n = Product p(k)^e(k) then a(n) = Product (8*(p(k)-2))^e(k).
a(2k) = 0 for k >= 1.
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MATHEMATICA
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a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] - 2)^fi[[All, 2]])); Table[a[n]*8^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 07 2016 *)
f[p_, e_] := (8*(p-2))^e; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* Amiram Eldar, Oct 19 2023 *)
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CROSSREFS
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KEYWORD
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nonn,easy,mult
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AUTHOR
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STATUS
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approved
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