A166668 Totally multiplicative sequence with a(p) = 10p+1 for prime p.

1, 21, 31, 441, 51, 651, 71, 9261, 961, 1071, 111, 13671, 131, 1491, 1581, 194481, 171, 20181, 191, 22491, 2201, 2331, 231, 287091, 2601, 2751, 29791, 31311, 291, 33201, 311, 4084101, 3441, 3591, 3621, 423801, 371, 4011, 4061, 472311, 411, 46221, 431

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (10p+1)^e. If n = Product p(k)^e(k) then a(n) = Product (10*p(k)+1)^e(k).

Mathematica

a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((10*fi[[All, 1]] + 1)^fi[[All, 2]])); Table[a[n], {n, 1, 100}] (* G. C. Greubel, May 22 2016 *)

Crossrefs

Sequence in context: A243360 A068657 A068671 * A019423 A002639 A054282

Adjacent sequences: A166665 A166666 A166667 * A166669 A166670 A166671

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved