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A014041 Inverse of 32nd cyclotomic polynomial. 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Periodic with period length 32. - 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Index to sequences related to inverse of cyclotomic polynomials

FORMULA

G.f.: 1/(1 + x^16). - Ilya Gutkovskiy, Aug 19 2017

MAPLE

with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80); c(32);

MATHEMATICA

CoefficientList[Series[1/Cyclotomic[32, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)

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

PROG

(PARI) Vec(1/polcyclo(32)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014

CROSSREFS

Column k=32 of A291137.

Sequence in context: A000007 A240351 A249832 * A015868 A323402 A240355

Adjacent sequences:  A014038 A014039 A014040 * A014042 A014043 A014044

KEYWORD

sign

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified November 12 07:03 EST 2019. Contains 329052 sequences. (Running on oeis4.)