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%I A014066 #15 Apr 03 2017 12:59:31
%S A014066 1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
%T A014066 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,
%U A014066 0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0
%N A014066 Inverse of 57th cyclotomic polynomial.
%C A014066 Periodic with period length 57. - _Ray Chandler_, Apr 03 2017
%H A014066 Vincenzo Librandi, <a href="/A014066/b014066.txt">Table of n, a(n) for n = 0..1000</a>
%H A014066 <a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1).
%H A014066 <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%p A014066 with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n,x),x,80);
%t A014066 CoefficientList[Series[1/Cyclotomic[57, x], {x, 0, 200}], x] (* _Vincenzo Librandi_, Apr 05 2014 *)
%t A014066 LinearRecurrence[{1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1},{1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},81] (* _Ray Chandler_, Sep 15 2015 *)
%Y A014066 Cf. similar sequences listed in A240328.
%K A014066 sign,easy
%O A014066 0,1
%A A014066 _Simon Plouffe_

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