A166674 Totally multiplicative sequence with a(p) = 5p+2 for prime p.

1, 12, 17, 144, 27, 204, 37, 1728, 289, 324, 57, 2448, 67, 444, 459, 20736, 87, 3468, 97, 3888, 629, 684, 117, 29376, 729, 804, 4913, 5328, 147, 5508, 157, 248832, 969, 1044, 999, 41616, 187, 1164, 1139, 46656, 207, 7548, 217, 8208, 7803, 1404, 237, 352512

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

Multiplicative with a(p^e) = (5p+2)^e. If n = Product p(k)^e(k) then a(n) = Product (5*p(k)+2)^e(k).

Mathematica

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((5*fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n], {n, 1, 100}](* G. C. Greubel, May 22 2016 *)

Crossrefs

Sequence in context: A188004 A045699 A155096 * A243609 A082241 A077294

Adjacent sequences: A166671 A166672 A166673 * A166675 A166676 A166677

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved