Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #15 Apr 08 2022 10:19:38
%S 1,0,0,-1,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,1,0,0,-1,0,
%T 0,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,
%U 0,0,0,0,1,0,0,-1,0,0,0,0,0,1,0,0
%N Inverse of 2277th cyclotomic polynomial.
%C Periodic with period length 2277. - _Ray Chandler_, Apr 07 2017
%H Ray Chandler, <a href="/A016286/b016286.txt">Table of n, a(n) for n = 0..3000</a>
%H <a href="/index/Rec#order_1320">Index entries for linear recurrences with constant coefficients</a>, order 1320.
%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[2277,x],{x,0,120}],x] (* _Harvey P. Dale_, Apr 08 2022 *)
%o (PARI) Vec(1/polcyclo(2277)+O(x^99)) \\ _Charles R Greathouse IV_, Mar 24 2014
%K sign
%O 0,1
%A _Simon Plouffe_