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Inverse of 67th cyclotomic polynomial.
2

%I #9 Sep 08 2022 08:46:07

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

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

%N Inverse of 67th cyclotomic polynomial.

%C Periodic with period length 67. - _Ray Chandler_, Apr 03 2017

%H Vincenzo Librandi, <a href="/A240352/b240352.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_66">Index entries for linear recurrences with constant coefficients</a>, signature (-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, -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).

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

%t CoefficientList[Series[1/Cyclotomic[67, x], {x, 0, 200}], x]

%o (Magma) &cat[[n le 2 select -(-1)^(n) else 0: n in [1..67]]: m in [1..4]];

%Y Cf. similar sequences listed in A240328.

%K sign,easy

%O 0

%A _Vincenzo Librandi_, Apr 04 2014