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A014059 Inverse of 50th cyclotomic polynomial. 3

%I #14 Apr 03 2017 12:42:13

%S 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,-1,0,0,

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

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

%N Inverse of 50th cyclotomic polynomial.

%C Periodic with period length 50. - _Ray Chandler_, Apr 03 2017

%H Vincenzo Librandi, <a href="/A014059/b014059.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 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[50, x], {x, 0, 200}], x] (* _Vincenzo Librandi_, Apr 05 2014 *)

%t LinearRecurrence[{0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1},{1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},81] (* _Ray Chandler_, Sep 15 2015 *)

%Y Cf. similar sequences listed in A240328.

%K sign,easy

%O 0,1

%A _Simon Plouffe_

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)