%I #33 Dec 14 2023 05:51:51
%S 1,1,1,0,0,-1,-1,-1,0,0,0,0,0,0,0,1,1,1,0,0,-1,-1,-1,0,0,0,0,0,0,0,1,
%T 1,1,0,0,-1,-1,-1,0,0,0,0,0,0,0,1,1,1,0,0,-1,-1,-1,0,0,0,0,0,0,0,1,1,
%U 1,0,0,-1,-1,-1,0,0,0,0,0,0,0,1,1,1,0,0,-1
%N Inverse of 15th cyclotomic polynomial.
%C Periodic with period length 15. - _Ray Chandler_, Apr 03 2017
%H Vincenzo Librandi, <a href="/A014024/b014024.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 (1, 0, -1, 1, -1, 0, 1, -1).
%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%F G.f.: 1 / ( 1-x+x^3-x^4+x^5-x^7+x^8 ). - _R. J. Mathar_, Mar 11 2011
%p with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n,x),x,80);
%t CoefficientList[Series[1/Cyclotomic[15, x], {x, 0, 100}], x] (* _Vincenzo Librandi_, Apr 03 2014 *)
%t LinearRecurrence[{1, 0, -1, 1, -1, 0, 1, -1},{1, 1, 1, 0, 0, -1, -1, -1},81] (* _Ray Chandler_, Sep 15 2015 *)
%o (PARI) Vec(1/polcyclo(15)+O(x^99)) \\ _Charles R Greathouse IV_, Mar 24 2014
%o (Magma) &cat[[1,1,1,0,0,-1,-1,-1,0,0,0,0,0,0,0]: n in [0..10]]; // _Vincenzo Librandi_, Apr 03 2014
%K sign,easy
%O 0,1
%A _Simon Plouffe_