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%I #17 Apr 03 2017 12:31:36
%S 1,1,1,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1
%N Inverse of 39th cyclotomic polynomial.
%C Periodic with period length 39. - _Ray Chandler_, Apr 03 2017
%H Vincenzo Librandi, <a href="/A014048/b014048.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -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[39, x], {x, 0, 100}], x] (* _Vincenzo Librandi_, Apr 04 2014 *)
%t LinearRecurrence[{1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -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, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0},81] (* _Ray Chandler_, Sep 15 2015 *)
%o (PARI) Vec(1/polcyclo(39)+O(x^99)) \\ _Charles R Greathouse IV_, Apr 01 2014
%K sign,easy
%O 0,1
%A _Simon Plouffe_
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