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%I #14 Jun 13 2015 00:48:54
%S 1,13,241,4033,65281,1047553,16773121,268419073,4294901761,
%T 68719214593,1099510579201,17592181850113,281474959933441,
%U 4503599560261633,72057593769492481,1152921503533105153,18446744069414584321,295147905162172956673,4722366482800925736961
%N 12th cyclotomic polynomial evaluated at powers of 2.
%H Colin Barker, <a href="/A020520/b020520.txt">Table of n, a(n) for n = 0..830</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (21,-84,64).
%F From _Colin Barker_, Feb 14 2015: (Start)
%F a(n) = 1-4^n+16^n.
%F a(n) = 21*a(n-1)-84*a(n-2)+64*a(n-3).
%F G.f.: -(52*x^2-8*x+1) / ((x-1)*(4*x-1)*(16*x-1)).
%F (End)
%p with(numtheory,cyclotomic):seq(cyclotomic(12,2^i),i=0..24);
%o (PARI) a(n) = polcyclo(12, 2^n) \\ _Colin Barker_, Feb 14 2015
%K nonn,easy
%O 0,2
%A _Simon Plouffe_
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