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A123268
X-values of solutions to the equation 3(X-Y)^4 - X*Y = 0 with X >= Y.
0
0, 8, 1372, 263640, 51109688, 9914526952, 1923360309780, 373121890730168, 72383722120389232, 14042068951066270920, 2724088992528477983948, 528459222478004446530712, 102518365071690621381979560
OFFSET
0,2
COMMENTS
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, ...
FORMULA
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).
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
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
CROSSREFS
Sequence in context: A270112 A281127 A001418 * A088080 A230472 A160103
KEYWORD
nonn,easy
AUTHOR
Mohamed Bouhamida, Oct 09 2006
EXTENSIONS
More terms from Max Alekseyev, Nov 13 2009
STATUS
approved