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A167307 Totally multiplicative sequence with a(p) = 6*(p+2) for prime p. 1
1, 24, 30, 576, 42, 720, 54, 13824, 900, 1008, 78, 17280, 90, 1296, 1260, 331776, 114, 21600, 126, 24192, 1620, 1872, 150, 414720, 1764, 2160, 27000, 31104, 186, 30240, 198, 7962624, 2340, 2736, 2268, 518400, 234, 3024, 2700, 580608, 258, 38880, 270 (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) = (6*(p+2))^e. If n = Product p(k)^e(k) then a(n) = Product (6*(p(k)+2))^e(k). a(n) = A165827(n) * A166590(n) = 6^bigomega(n) * A166590(n) = 6^A001222(n) * A166590(n).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n]*6^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 07 2016 *)

CROSSREFS

Sequence in context: A067952 A239801 A123200 * A161378 A206448 A266984

Adjacent sequences:  A167304 A167305 A167306 * A167308 A167309 A167310

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified January 19 14:38 EST 2021. Contains 340270 sequences. (Running on oeis4.)