A123282 - OEIS

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A123282

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

0, 16, 2744, 527280, 102219376, 19829053904, 3846720619560, 746243781460336, 144767444240778464, 28084137902132541840, 5448177985056955967896, 1056918444956008893061424, 205036730143381242763959120

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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, 12, 2688, 526500, 102208512, 19828902588, ...

LINKS

Table of n, a(n) for n=0..12.

Index entries for linear recurrences with constant coefficients, signature (208,-2718,208,-1).

FORMULA

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).

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.: 8*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: A221253 A379610 A374414 * A091160 A049030 A223068

Adjacent sequences: A123279 A123280 A123281 * A123283 A123284 A123285

KEYWORD

nonn,easy

AUTHOR

Mohamed Bouhamida, Oct 10 2006

EXTENSIONS

More terms from Max Alekseyev, Nov 13 2009

STATUS

approved