A014093 - OEIS

A014093

Inverse of 84th cyclotomic polynomial.

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

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OFFSET

0,1

COMMENTS

Periodic with period length 84. - 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, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -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[84, x], {x, 0, 200}], x] (* Vincenzo Librandi, Apr 06 2014 *)

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

CROSSREFS

Cf. similar sequences listed in A240328 and A240465.

Sequence in context: A267587 A014165 A014141 * A373601 A089806 A274719

Adjacent sequences: A014090 A014091 A014092 * A014094 A014095 A014096

KEYWORD

sign,easy

AUTHOR

Simon Plouffe

STATUS

approved