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A167325
Totally multiplicative sequence with a(p) = 6*(p+3) for prime p.
1
1, 30, 36, 900, 48, 1080, 60, 27000, 1296, 1440, 84, 32400, 96, 1800, 1728, 810000, 120, 38880, 132, 43200, 2160, 2520, 156, 972000, 2304, 2880, 46656, 54000, 192, 51840, 204, 24300000, 3024, 3600, 2880, 1166400, 240, 3960, 3456, 1296000, 264, 64800, 276, 75600
OFFSET
1,2
LINKS
FORMULA
Multiplicative with a(p^e) = (6*(p+3))^e. If n = Product p(k)^e(k) then a(n) = Product (6*(p(k)+3))^e(k).
a(n) = A165827(n) * A166591(n) = 6^bigomega(n) * A166591(n) = 6^A001222(n) * A166591(n).
MATHEMATICA
a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] + 3)^fi[[All, 2]])); Table[a[n]*6^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, Jun 09 2016 *)
f[p_, e_] := (6*(p+3))^e; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* Amiram Eldar, Oct 21 2023 *)
CROSSREFS
KEYWORD
nonn,easy,mult
AUTHOR
Jaroslav Krizek, Nov 01 2009
STATUS
approved