A014562 Inverse of 553rd 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, 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, 0, 0, 0, 0, -1, -1

Offset

0,1

Comments

Periodic with period length 553. - 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 468.

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[553, x], {x, 0, 120}], x] (* Harvey P. Dale, Feb 03 2025 *)

Prog

(PARI) Vec(1/polcyclo(553)+O(x^99)) \\ Charles R Greathouse IV, May 31 2026

Crossrefs

Sequence in context: A138345 A014590 A015171 * A015115 A014520 A015031

Adjacent sequences: A014559 A014560 A014561 * A014563 A014564 A014565

Keyword

sign,easy

Author

Simon Plouffe

Status

approved