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%I #24 Aug 21 2017 05:54:33
%S 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
%T 0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,-1
%N Inverse of 32nd cyclotomic polynomial.
%C Periodic with period length 32. - _Ray Chandler_, Apr 03 2017
%H Vincenzo Librandi, <a href="/A014041/b014041.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%F G.f.: 1/(1 + x^16). - _Ilya Gutkovskiy_, Aug 19 2017
%p with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n, x), x,80); c(32);
%t CoefficientList[Series[1/Cyclotomic[32, x], {x, 0, 100}], x] (* _Vincenzo Librandi_, Apr 04 2014 *)
%t LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1},{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},81] (* _Ray Chandler_, Sep 15 2015 *)
%o (PARI) Vec(1/polcyclo(32)+O(x^99)) \\ _Charles R Greathouse IV_, Mar 24 2014
%Y Column k=32 of A291137.
%K sign
%O 0,1
%A _Simon Plouffe_
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