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A167327
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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, 40, 48, 1600, 64, 1920, 80, 64000, 2304, 2560, 112, 76800, 128, 3200, 3072, 2560000, 160, 92160, 176, 102400, 3840, 4480, 208, 3072000, 4096, 5120, 110592, 128000, 256, 122880, 272, 102400000, 5376, 6400, 5120, 3686400, 320, 7040, 6144, 4096000, 352, 153600
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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).
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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 21 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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