

A014033


Inverse of 24th cyclotomic polynomial.


1



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



