A166673 Totally multiplicative sequence with a(p) = 3p+2 for prime p.

1, 8, 11, 64, 17, 88, 23, 512, 121, 136, 35, 704, 41, 184, 187, 4096, 53, 968, 59, 1088, 253, 280, 71, 5632, 289, 328, 1331, 1472, 89, 1496, 95, 32768, 385, 424, 391, 7744, 113, 472, 451, 8704, 125, 2024, 131, 2240, 2057, 568, 143, 45056, 529, 2312

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (3p+2)^e. If n = Product p(k)^e(k) then a(n) = Product (3*p(k)+2)^e(k).

Mathematica

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((3*fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n], {n, 1, 100}] (* G. C. Greubel, May 22 2016 *)

Crossrefs

Sequence in context: A304889 A192427 A258285 * A107788 A038289 A079607

Adjacent sequences: A166670 A166671 A166672 * A166674 A166675 A166676

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved