|
%I #10 Jun 13 2015 00:48:54
%S 3,73,4161,262657,16781313,1073774593,68719738881,4398048608257,
%T 281474993487873,18014398643699713,1152921505680588801,
%U 73786976303428141057,4722366482938364690433,302231454904207049490433,19342813113838464841809921,1237940039285415459271213057
%N 9th cyclotomic polynomial evaluated at powers of 2.
%H Colin Barker, <a href="/A020517/b020517.txt">Table of n, a(n) for n = 0..553</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (73,-584,512).
%F From _Colin Barker_, Feb 15 2015: (Start)
%F a(n) = 1+8^n+64^n.
%F a(n) = 73*a(n-1)-584*a(n-2)+512*a(n-3).
%F G.f.: -(584*x^2-146*x+3) / ((x-1)*(8*x-1)*(64*x-1)).
%F (End)
%p with(numtheory,cyclotomic):seq(cyclotomic(9,2**i),i=0..24);
%o (PARI) a(n) = polcyclo(9, 2^n) \\ _Colin Barker_, Feb 15 2015
%K nonn,easy
%O 0,1
%A _Simon Plouffe_
|
