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%I #18 Apr 03 2017 12:37:00
%S 1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
%U 0,-1,0,0,0,0,0,0,0,0,0,0,0,0
%N Inverse of 44th cyclotomic polynomial.
%C Periodic with period length 44. - _Ray Chandler_, Apr 03 2017
%H Vincenzo Librandi, <a href="/A014053/b014053.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 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[44, x], {x, 0, 100}], x] (* _Vincenzo Librandi_, Apr 04 2014 *)
%t LinearRecurrence[{0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1},{1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},81] (* _Ray Chandler_, Sep 15 2015 *)
%Y Cf. similar sequences listed in A240328.
%K sign,easy
%O 0,1
%A _Simon Plouffe_
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