A014074 - OEIS

%I #15 Apr 03 2017 13:38:11

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

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

%U 1,1,1,1,0,0,0,0,0,0,0,0,-1,-1,-1

%N Inverse of 65th cyclotomic polynomial.

%C Periodic with period length 65. - _Ray Chandler_, Apr 03 2017

%H Vincenzo Librandi, <a href="/A014074/b014074.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_48">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 0, 1, -1, 1, -1, 0, 1, -1, 1, -1, 0, 1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, -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[65, x],{x, 0, 200}], x] (* _Vincenzo Librandi_, Apr 05 2014 *)

%t LinearRecurrence[{1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 0, 1, -1, 1, -1, 0, 1, -1, 1, -1, 0, 1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1},{1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -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, 0, 0, 0, 0, 0, 0, 0, 0},200] (* _Ray Chandler_, Sep 15 2015 *)

%Y Cf. similar sequences listed in A240328.

%K sign,easy

%O 0,1

%A _Simon Plouffe_