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A167327 Totally multiplicative sequence with a(p) = 8*(p+3) for prime p. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

FORMULA

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(n) = A165829(n) * A166591(n) = 8^bigomega(n) * A166591(n) = 8^A001222(n) * A166591(n).

MATHEMATICA

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 *)

CROSSREFS

Sequence in context: A120382 A290017 A062909 * A216305 A173337 A167311

Adjacent sequences:  A167324 A167325 A167326 * A167328 A167329 A167330

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified April 26 03:37 EDT 2019. Contains 322469 sequences. (Running on oeis4.)