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A167318
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Totally multiplicative sequence with a(p) = 8*(p-3) for prime p.
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1
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1, -8, 0, 64, 16, 0, 32, -512, 0, -128, 64, 0, 80, -256, 0, 4096, 112, 0, 128, 1024, 0, -512, 160, 0, 256, -640, 0, 2048, 208, 0, 224, -32768, 0, -896, 512, 0, 272, -1024, 0, -8192, 304, 0, 320, 4096, 0, -1280, 352, 0, 1024, -2048, 0, 5120, 400, 0, 1024, -16384
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OFFSET
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1,2
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LINKS
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FORMULA
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Multiplicative with a(p^e) = (8*(p-3))^e. If n = Product p(k)^e(k) then a(n) = Product (8*(p(k)-3))^e(k).
a(3k) = 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]] - 3)^fi[[All, 2]])); Table[a[n]*8^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 09 2016 *)
f[p_, e_] := (8*(p-3))^e; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* Amiram Eldar, Oct 22 2023 *)
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CROSSREFS
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KEYWORD
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sign,easy,mult
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AUTHOR
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STATUS
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approved
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