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%I A014515 #19 Feb 13 2022 16:56:24
%S A014515 1,-1,1,-1,1,-1,1,-1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,-1,1,-1,1,
%T A014515 -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,
%U A014515 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
%N A014515 Inverse of 506th cyclotomic polynomial.
%C A014515 Periodic with period length 506. - _Ray Chandler_, Apr 04 2017
%C A014515 In general the expansion of 1/Phi(N) is N-periodic, but also satisfies a linear recurrence of lower order given by degree(Phi(N)) = phi(N) = A000010(N) < N. The signature is given by the coefficients of (1-Phi(N)). - M. F. Hasler, Feb 18 2018
%H A014515 Ray Chandler, <a href="/load/view.php?a=aHR0cDovL29laXMub3JnL0EwMTQ1MTUvYjAxNDUxNS50eHQ">Table of n, a(n) for n = 0..1000</a>
%H A014515 <a href="/load/view.php?a=aHR0cDovL29laXMub3JnL2luZGV4L1JlYyNvcmRlcl8yMjA">Index entries for linear recurrences with constant coefficients</a>, order 220.
%H A014515 <a href="/load/view.php?a=aHR0cDovL29laXMub3JnL2luZGV4L1BvbCNwb2x5X2N5Y2xvX2ludg">Index to sequences related to inverse of cyclotomic polynomials</a>
%p A014515 with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n,x),x,80);
%t A014515 CoefficientList[Series[1/Cyclotomic[506,x],{x,0,120}],x,120] (* _Harvey P. Dale_, Feb 13 2022 *)
%Y A014515 Cf. sequences listed in cross-references of A240328 (1/Phi(N), N = 3 .. 75) and A240467 (N = 76 .. 253).
%K A014515 sign
%O A014515 0,1
%A A014515 _Simon Plouffe_

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