%I #18 Feb 17 2018 13:54:41

%S 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,

%T 1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1,

%U -1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1

%N Inverse of 2183rd cyclotomic polynomial.

%C Periodic with period length 2183. - _Ray Chandler_, Apr 07 2017

%H Ray Chandler, <a href="/A016192/b016192.txt">Table of n, a(n) for n = 0..3000</a>

%H <a href="/index/Rec#order_2088">Index entries for linear recurrences with constant coefficients</a>, order 2088.

%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>

%F G.f. (1 + x + ... + x^36 - x^59 - ... - x^95)/(1 - x^2183) = (1 - x^37)/(1 - x)*(1 - x^59)/(1 - x^2183) = (1 + x + ... + x^36)/(1 + x^59 + x^118 + ... + x^2124) = 1/((1 - x)(1 + x^37 + x^59 +...+ x^2087)), therefore this is a linear recurrence of order 2088. - _M. F. Hasler_, Feb 16 2018

%p with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n,x),x,80);

%o (PARI) A016192_vec(N)=Vec((O(x^N)+1-x^37)/(1-x)*(1-x^59)/(1-x^2183)) \\ _M. F. Hasler_, Feb 16 2018

%Y Cf. A007273, A010891, A010892, A014016 - A016327, A240328 - A240467 and A291137.

%K sign

%O 0,1

%A _Simon Plouffe_