A014033 - OEIS

A014033

Inverse of 24th cyclotomic polynomial.

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

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OFFSET

0,1

COMMENTS

Periodic with period length 24. - 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, 1, 0, 0, 0, -1).

Index to sequences related to inverse of cyclotomic polynomials

FORMULA

|a(n)| = A000388(n+10)(mod 2). - John M. Campbell, Jul 13 2016

G.f.: 1/(1 - x^4 + x^8). - Ilya Gutkovskiy, Aug 18 2017

MAPLE

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

MATHEMATICA

CoefficientList[Series[1/Cyclotomic[24, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *)

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

PROG

(PARI) Vec(1/polcyclo(24)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014

(Magma) &cat[[1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0]: n in [0..5]]; // Vincenzo Librandi, Apr 03 2014

CROSSREFS

Sequence in context: A015857 A016343 A016193 * A014849 A016328 A016289

Adjacent sequences: A014030 A014031 A014032 * A014034 A014035 A014036

KEYWORD

sign,easy

AUTHOR

Simon Plouffe

STATUS

approved

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