A014045 Inverse of 36th cyclotomic polynomial.

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

Offset

0,1

Comments

Periodic with period length 36. - 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 (0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1).

Index to sequences related to inverse of cyclotomic polynomials

Formula

G.f.: 1/(1 - x^6 + x^12). - Ilya Gutkovskiy, Aug 19 2017

Maple

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

Mathematica

CoefficientList[Series[1/Cyclotomic[36, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)

Prog

(PARI) Vec(1/polcyclo(36)+O(x^99)) \\ Charles R Greathouse IV, Apr 01 2014

Crossrefs

Column k=36 of A291137.

Sequence in context: A297199 A373477 A185117 * A015269 A016347 A015989

Adjacent sequences: A014042 A014043 A014044 * A014046 A014047 A014048

Keyword

sign,easy

Author

Simon Plouffe

Status

approved