A020518 10th cyclotomic polynomial evaluated at powers of 2.

1, 11, 205, 3641, 61681, 1016801, 16519105, 266354561, 4278255361, 68585520641, 1098438933505, 17583600302081, 281406274007041, 4503049938657281, 72053196259835905, 1152886321308467201, 18446462603027742721, 295145653396718878721, 4722348468539854946305

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..830

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

Index entries for linear recurrences with constant coefficients, signature (31,-310,1240,-1984,1024).

Formula

G.f.: -(704*x^4-544*x^3+174*x^2-20*x+1) / ((x-1)*(2*x-1)*(4*x-1)*(8*x-1)*(16*x-1)). - Colin Barker, Feb 14 2015

a(n) = 1-2^n+4^n-8^n+16^n. - Colin Barker, Feb 15 2015

a(n) = A060884(A000079(n)). - Michel Marcus, Apr 06 2016

Maple

with(numtheory, cyclotomic):seq(cyclotomic(10, 2^i), i=0..24);

Prog

(PARI) a(n) = polcyclo(10, 2^n) \\ Colin Barker, Feb 14 2015

Crossrefs

Cf. A000079, A060884.

Sequence in context: A191556 A091814 A280957 * A371387 A196849 A373348

Adjacent sequences: A020515 A020516 A020517 * A020519 A020520 A020521

Keyword

nonn,easy

Author

Simon Plouffe

Extensions

More terms from Colin Barker, Feb 14 2015

Status

approved