%I #19 Jan 30 2019 16:22:03
%S 1,0,0,-1,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,1,0,0,-1,0,
%T 0,0,0,0,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,-1,0,0,1,0,0,1,0,0,-2,0,0,1,0,
%U 0,1,0,0,-2,0,0,1,0,0,1,0,0,-1,0,0
%N Inverse of 2223rd cyclotomic polynomial.
%C Periodic with period length 2223. - _Ray Chandler_, Apr 07 2017
%H Robert Israel, <a href="/A016232/b016232.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_1296">Index entries for linear recurrences with constant coefficients</a>, order 1296.
%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%F From _Robert Israel_, Apr 19 2016: (Start)
%F G.f.: 1/C_2223(x), where C_n(x) is the n-th cyclotomic polynomial.
%F a(n) = 0 if n is not divisible by 3.
%F a(3*n) = A014750(n).- (End)
%p with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n,x),x,80);
%t CoefficientList[Series[1/Cyclotomic[2223,x],{x,0,120}],x] (* _Harvey P. Dale_, Jan 30 2019 *)
%K sign
%O 0,61
%A _Simon Plouffe_