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%I #24 Sep 08 2022 08:44:39
%S 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,
%T 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,
%U 0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
%N Inverse of 24th cyclotomic polynomial.
%C Periodic with period length 24. - _Ray Chandler_, Apr 03 2017
%H Vincenzo Librandi, <a href="/A014033/b014033.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1, 0, 0, 0, -1).
%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%F |a(n)| = A000388(n+10)(mod 2). - _John M. Campbell_, Jul 13 2016
%F G.f.: 1/(1 - x^4 + x^8). - _Ilya Gutkovskiy_, Aug 18 2017
%p with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n,x),x,80);
%t CoefficientList[Series[1/Cyclotomic[24, x], {x, 0, 100}], x] (* _Vincenzo Librandi_, Apr 03 2014 *)
%t LinearRecurrence[{0, 0, 0, 1, 0, 0, 0, -1},{1, 0, 0, 0, 1, 0, 0, 0},81] (* _Ray Chandler_, Sep 15 2015 *)
%o (PARI) Vec(1/polcyclo(24)+O(x^99)) \\ _Charles R Greathouse IV_, Mar 24 2014
%o (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
%K sign,easy
%O 0,1
%A _Simon Plouffe_
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