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A123268 X-values of solutions to the equation 3(X-Y)^4 - X*Y = 0 with X >= Y. 0

%I

%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

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Last modified September 24 16:19 EDT 2022. Contains 356943 sequences. (Running on oeis4.)