A020521 13th cyclotomic polynomial evaluated at powers of 2.

13, 8191, 22369621, 78536544841, 300239975158033, 1190112520884487201, 4797324681010433232961, 19495118728903626376364161, 79538861190790864407636279553, 325153619321163373997995856232961, 1330527338889299954891005307651097601

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

• Quynh Nguyen, Jean Pedersen, and Hien T. Vu, New Integer Sequences Arising From 3-Period Folding Numbers, Vol. 19 (2016), Article 16.3.1. Cites this sequence.

Crossrefs

Cf. A000079, A060887.

Programs

Maple

with(numtheory,cyclotomic):seq(cyclotomic(13,2^i),i=0..24);

Mathematica

Table[Cyclotomic[13,2^n],{n,0,24}] (* Benedict W. J. Irwin, Jul 15 2016 *)

PARI

a(n) = polcyclo(13, 2^n); \\ Michel Marcus, Apr 06 2016

Formula

a(n) = A060887(A000079(n)). - Michel Marcus, Apr 06 2016

G.f.: Sum_{k=0..12} 1/(1-2^k*x). - Benedict W. J. Irwin, Jul 15 2016