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A014029 Inverse of 20th cyclotomic polynomial. 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Periodic with period length 20. - 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, -1, 0, 1, 0, -1).

Index to sequences related to inverse of cyclotomic polynomials

FORMULA

G.f.: 1/(1 - x^2 + x^4 - x^6 + 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[20, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *)

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

PROG

(PARI) Vec(1/polcyclo(20)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014

(MAGMA) &cat[[1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0]: n in [0..6]]; // Vincenzo Librandi, Apr 03 2014

CROSSREFS

Sequence in context: A089805 A080116 A016359 * A016396 A016386 A016368

Adjacent sequences:  A014026 A014027 A014028 * A014030 A014031 A014032

KEYWORD

sign

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified July 12 06:48 EDT 2020. Contains 335657 sequences. (Running on oeis4.)