A015692 Inverse of 1683rd cyclotomic polynomial.

1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, -1, 0, 0, -1, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0

Offset

0,52

Comments

Periodic with period length 1683. - Ray Chandler, Apr 07 2017

Links

Ray Chandler, Table of n, a(n) for n = 0..2000

Index entries for periodic sequences, period 1683.

Index entries for linear recurrences with constant coefficients, order 960.

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[1683, x], {x, 0, 120}], x] (* Harvey P. Dale, Aug 19 2020 *)

Prog

(PARI) first(n)=Vec(1/polcyclo(1683)+O(x^(n+1))) \\ Charles R Greathouse IV, Jun 01 2026

Crossrefs

Sequence in context: A212663 A378985 A341774 * A016232 A007949 A191265

Adjacent sequences: A015689 A015690 A015691 * A015693 A015694 A015695

Keyword

sign,easy

Author

Simon Plouffe

Status

approved