A123282 - OEIS

%I #15 Feb 15 2020 10:52:26

%S 0,16,2744,527280,102219376,19829053904,3846720619560,746243781460336,

%T 144767444240778464,28084137902132541840,5448177985056955967896,

%U 1056918444956008893061424,205036730143381242763959120

%N X-values of solutions to the equation 3(X-Y)^4 - 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, 12, 2688, 526500, 102208512, 19828902588, ...

%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)=2 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.: 8*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 10 2006

%E More terms from _Max Alekseyev_, Nov 13 2009