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%I #17 Feb 15 2020 10:52:26
%S 0,8,1372,263640,51109688,9914526952,1923360309780,373121890730168,
%T 72383722120389232,14042068951066270920,2724088992528477983948,
%U 528459222478004446530712,102518365071690621381979560
%N X-values of solutions to the equation 3(X-Y)^4 - X*Y = 0 with X >= Y.
%C To find Y-values: with c(n) and d(n) as defined in the Formula section, b(n) = c(n)*(-1+d(n)), which gives 0, 6, 1344, 263250, 51104256, 9914451294, ...
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (208,-2718,208,-1).
%F a(n) = c(n)*(1+d(n)) with c(0)=0, c(1)=1 and c(n) = 14*c(n-1) - c(n-2); d(0)=1, d(1)=7 and d(n) = 14*d(n-1) - d(n-2).
%F For n >= 4, a(n) = 208*a(n-1) - 2718*a(n-2) + 208*a(n-3) - a(n-4). - _Max Alekseyev_, Nov 13 2009
%F G.f.: 4*x*(2*x^2 - 73*x + 2)/((x^2 - 194*x + 1)*(x^2 - 14*x + 1)). - _Colin Barker_, Oct 25 2012
%K nonn,easy
%O 0,2
%A _Mohamed Bouhamida_, Oct 09 2006
%E More terms from _Max Alekseyev_, Nov 13 2009