A016176 Inverse of 2167th cyclotomic polynomial.

1, 1, 1, 1, 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, 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, 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, -1, -1, -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, 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

Offset

0,1

Comments

Periodic with period length 2167. - Ray Chandler, Apr 07 2017

Links

Ray Chandler, Table of n, a(n) for n = 0..3000

Index entries for periodic sequences, period 2167.

Index entries for linear recurrences with constant coefficients, order 1960.

Index to sequences related to inverse of cyclotomic polynomials

Example

1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 - x^197 - x^198 - x^199 - x^200 - x^201 - x^202 - x^203 - x^204 - x^205 - x^206 - x^207 + O(x^1300).

Maple

with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 1300); c(2167);

Mathematica

PadRight[CoefficientList[Series[1/Cyclotomic[2167, x], {x, 0, 350}], x], 350, 0](* Harvey P. Dale, Jun 21 2015 *)

Prog

(PARI) first(n)=Vec(1/polcyclo(2167)+O(x^(n+1))) \\ Charles R Greathouse IV, Jun 01 2026

Crossrefs

Sequence in context: A016275 A014988 A015076 * A014922 A014878 A015747

Adjacent sequences: A016173 A016174 A016175 * A016177 A016178 A016179

Keyword

sign,easy,changed

Author

Simon Plouffe

Extensions

Edited by N. J. A. Sloane, Apr 19 2007

Status

approved