A014024 Inverse of 15th cyclotomic polynomial.

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

Offset

0,1

Comments

Periodic with period length 15. - Ray Chandler, Apr 03 2017

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1, 0, -1, 1, -1, 0, 1, -1).

Index to sequences related to inverse of cyclotomic polynomials

Formula

G.f.: 1 / ( 1-x+x^3-x^4+x^5-x^7+x^8 ). - R. J. Mathar, Mar 11 2011

Maple

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

Mathematica

CoefficientList[Series[1/Cyclotomic[15, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *)
LinearRecurrence[{1, 0, -1, 1, -1, 0, 1, -1}, {1, 1, 1, 0, 0, -1, -1, -1}, 81] (* Ray Chandler, Sep 15 2015 *)

Prog

(PARI) Vec(1/polcyclo(15)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014
(Magma) &cat[[1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0]: n in [0..10]]; // Vincenzo Librandi, Apr 03 2014

Crossrefs

Sequence in context: A275601 A281011 A016416 * A014039 A016410 A230412

Adjacent sequences: A014021 A014022 A014023 * A014025 A014026 A014027

Keyword

sign,easy

Author

Simon Plouffe

Status

approved