A015187 - OEIS

%I #15 Jun 01 2026 19:03:10

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

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

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

%N Inverse of 1178th cyclotomic polynomial.

%C Periodic with period length 1178. - _Ray Chandler_, Apr 07 2017

%H Ray Chandler, <a href="/A015187/b015187.txt">Table of n, a(n) for n = 0..2000</a>

%H <a href="/index/Per#periodic">Index entries for periodic sequences</a>, period 1178.

%H <a href="/index/Rec#order_540">Index entries for linear recurrences with constant coefficients</a>, order 540.

%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[1178,x],{x,0,100}],x,100] (* _Harvey P. Dale_, Feb 20 2023 *)

%o (PARI) first(n)=Vec(1/polcyclo(1178)+O(x^(n+1))) \\ _Charles R Greathouse IV_, Jun 01 2026

%K sign,easy,changed

%O 0,1

%A _Simon Plouffe_