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A167310 Totally multiplicative sequence with a(p) = 9*(p+2) for prime p. 1
1, 36, 45, 1296, 63, 1620, 81, 46656, 2025, 2268, 117, 58320, 135, 2916, 2835, 1679616, 171, 72900, 189, 81648, 3645, 4212, 225, 2099520, 3969, 4860, 91125, 104976, 279, 102060, 297, 60466176, 5265, 6156, 5103, 2624400, 351, 6804, 6075 (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) = (9*(p+2))^e. If n = Product p(k)^e(k) then a(n) = Product (9*(p(k)+2))^e(k). a(n) = A165830(n) * A166590(n) = 9^bigomega(n) * A166590(n) = 9^A001222(n) * A166590(n).

MATHEMATICA

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n]*9^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 07 2016 *)

CROSSREFS

Sequence in context: A068143 A264961 A188630 * A083674 A160063 A260927

Adjacent sequences:  A167307 A167308 A167309 * A167311 A167312 A167313

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Nov 01 2009

STATUS

approved

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Last modified November 26 16:27 EST 2020. Contains 338641 sequences. (Running on oeis4.)