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%I #24 Apr 07 2017 21:12:16
%S 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,-1,-1
%N Inverse of 2291st cyclotomic polynomial.
%C Periodic with period length 2291. - _Ray Chandler_, Apr 07 2017
%H Ray Chandler, <a href="/A016300/b016300.txt">Table of n, a(n) for n = 0..3000</a>
%H <a href="/index/Rec#order_2184">Index entries for linear recurrences with constant coefficients</a>, order 2184.
%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%F a(n) = 1 for 0 <= n <= 28 or 2291 <= n <= 2319,
%F a(n) = 0 for 29 <= n <= 78 or 108 <= n <= 2290 or 2320 <= n <= 2369,
%F a(n) = -1 for 79 <= n <= 107 or 2370 <= n <= 2398, etc. - _M. F. Hasler_, Apr 21 2015
%p with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n,x),x,80); # Then c(2291) yields this sequence, or rather the first 80 terms of the power series.
%t CoefficientList[Series[1/Cyclotomic[2291,x],{x,0,90}],x] (* _Harvey P. Dale_, Apr 20 2015 *)
%o (PARI) Vec(1/polcyclo(2291)+O(x^100)) \\ Sparse representation: {1/polcyclo(2291)+O(x^2500)}. - _M. F. Hasler_, Apr 21 2015
%Y Cf. ..., A014676,... A015343, ..., A015952, ..., A016068, ..., A016126, ....
%K sign
%O 0,1
%A _Simon Plouffe_
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