A166676 Totally multiplicative sequence with a(p) = 9p+2 for prime p.

1, 20, 29, 400, 47, 580, 65, 8000, 841, 940, 101, 11600, 119, 1300, 1363, 160000, 155, 16820, 173, 18800, 1885, 2020, 209, 232000, 2209, 2380, 24389, 26000, 263, 27260, 281, 3200000, 2929, 3100, 3055, 336400, 335, 3460, 3451, 376000, 371, 37700, 389

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (9p+2)^e. If n = Product p(k)^e(k) then a(n) = Product (9*p(k)+2)^e(k).

Mathematica

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((9*fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n], {n, 1, 100}] (* G. C. Greubel, May 22 2016 *)

Crossrefs

Sequence in context: A043889 A303080 A113621 * A125561 A171908 A338158

Adjacent sequences: A166673 A166674 A166675 * A166677 A166678 A166679

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved