A014849 Inverse of 840th cyclotomic polynomial.

1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0

Offset

0,1

Comments

Periodic with period length 840. - Ray Chandler, Apr 06 2017

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for periodic sequences.

Index entries for linear recurrences with constant coefficients, order 192.

Index to sequences related to inverse of cyclotomic polynomials

Maple

with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);

Mathematica

CoefficientList[Series[1/Cyclotomic[840, x], {x, 0, 100}], x] (* Harvey P. Dale, Aug 30 2025 *)

Prog

(PARI) Vec(1/polcyclo(840)+O(x^99)) \\ Charles R Greathouse IV, Jun 01 2026

Crossrefs

Sequence in context: A016343 A016193 A014033 * A016328 A016289 A016049

Adjacent sequences: A014846 A014847 A014848 * A014850 A014851 A014852

Keyword

sign,easy

Author

Simon Plouffe

Status

approved