%I #13 Sep 08 2022 08:44:39
%S 1,0,-1,0,1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,1,0,
%T -1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
%N Inverse of 260th cyclotomic polynomial.
%C Periodic with period length 260. - _Ray Chandler_, Apr 03 2017
%H Vincenzo Librandi, <a href="/A014269/b014269.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_96">Index entries for linear recurrences with constant coefficients</a>, signature (0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1).
%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%p with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n,x),x,80);
%t CoefficientList[Series[1/Cyclotomic[260, x], {x, 0, 200}], x] (* _Vincenzo Librandi_, Apr 08 2014 *)
%o (Magma) t:=260; u:=1; m:=u*t+2; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/CyclotomicPolynomial(t))); // _Vincenzo Librandi_, Apr 08 2014
%K sign,easy
%O 0,1
%A _Simon Plouffe_
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