A014583 Inverse of 574th cyclotomic polynomial.

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

Offset

0,1

Comments

Periodic with period length 574. - 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 240.

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[574, x], {x, 0, 120}], x, 120] (* Harvey P. Dale, Jan 24 2026 *)

Prog

(PARI) Vec(1/polcyclo(574)+O(x^99)) \\ Charles R Greathouse IV, May 31 2026

Crossrefs

Sequence in context: A014310 A014611 A014296 * A014268 A014527 A014226

Adjacent sequences: A014580 A014581 A014582 * A014584 A014585 A014586

Keyword

sign,easy

Author

Simon Plouffe

Status

approved