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A123278
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X-values of solutions to the equation 3(X-Y)^4 - 2*X*Y = 0 with X >= Y.
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0
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0, 6, 500, 48114, 4705960, 461049726, 45177313500, 4426907222634, 433791646851920, 42507153656189046, 4165267258462562500, 408153684094531891554, 39994895773202429477880, 3919091632081792366665966, 384030985048163740834371500, 37631117443087185673897862874
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OFFSET
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0,2
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COMMENTS
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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, 4, 480, 47916, 4704000, 461030324, 45177121440, ...
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LINKS
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FORMULA
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a(n) = c(n)*(1+d(n)) with c(0)=0, c(1)=1 and c(n) = 10*c(n-1) - c(n-2); d(0)=1, d (1)=5 and d(n) = 10*d(n-1) - d(n-2).
For n >= 4, a(n) = 108*a(n-1) - 982*a(n-2) + 108*a(n-3) - a(n-4). - Max Alekseyev, Nov 13 2009
G.f.: 2*x*(3*x^2 - 74*x + 3)/((x^2 - 98*x + 1)*(x^2 - 10*x + 1)). - Colin Barker, Oct 25 2012
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MATHEMATICA
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LinearRecurrence[{108, -982, 108, -1}, {0, 6, 500, 48114}, 20] (* Harvey P. Dale, Aug 19 2012 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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