A014048 - OEIS

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A014048

Inverse of 39th cyclotomic polynomial.

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

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OFFSET

0,1

COMMENTS

Periodic with period length 39. - 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, 0, -1, 1, 0, -1, 1, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1).

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[39, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)

LinearRecurrence[{1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)

PROG

(PARI) Vec(1/polcyclo(39)+O(x^99)) \\ Charles R Greathouse IV, Apr 01 2014

CROSSREFS

Sequence in context: A014123 A014060 A014111 * A014087 A014042 A014075

Adjacent sequences: A014045 A014046 A014047 * A014049 A014050 A014051

KEYWORD

sign,easy

AUTHOR

Simon Plouffe

STATUS

approved