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Inverse of 350th cyclotomic polynomial.
1

%I #15 Apr 20 2023 14:58:29

%S 1,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,

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

%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

%N Inverse of 350th cyclotomic polynomial.

%C Periodic with period length 350. - _Ray Chandler_, Apr 03 2017

%H Ray Chandler, <a href="/A014359/b014359.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_120">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 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[350,n],{n,0,100}],n,100] (* _Harvey P. Dale_, Apr 19 2023 *)

%K sign

%O 0,1

%A _Simon Plouffe_