A166654 Totally multiplicative sequence with a(p) = 5p-1 for prime p.

1, 9, 14, 81, 24, 126, 34, 729, 196, 216, 54, 1134, 64, 306, 336, 6561, 84, 1764, 94, 1944, 476, 486, 114, 10206, 576, 576, 2744, 2754, 144, 3024, 154, 59049, 756, 756, 816, 15876, 184, 846, 896, 17496, 204, 4284, 214, 4374, 4704, 1026, 234, 91854, 1156

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (5p-1)^e. If n = Product p(k)^e(k) then a(n) = Product (5*p(k)-1)^e(k).

Mathematica

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((5*fi[[All, 1]] - 1)^fi[[All, 2]])); Table[a[n], {n, 1, 100}] (* G. C. Greubel, May 21 2016 *)

Crossrefs

Sequence in context: A272545 A272009 A298754 * A348318 A370674 A373330

Adjacent sequences: A166651 A166652 A166653 * A166655 A166656 A166657

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved