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A123278 X-values of solutions to the equation 3(X-Y)^4 - 2*X*Y = 0 with X >= Y. 0
0, 6, 500, 48114, 4705960, 461049726, 45177313500, 4426907222634, 433791646851920, 42507153656189046, 4165267258462562500, 408153684094531891554, 39994895773202429477880, 3919091632081792366665966, 384030985048163740834371500, 37631117443087185673897862874 (list; graph; refs; listen; history; text; internal format)
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, 4, 480, 47916, 4704000, 461030324, 45177121440, ...
LINKS
FORMULA
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
MATHEMATICA
LinearRecurrence[{108, -982, 108, -1}, {0, 6, 500, 48114}, 20] (* Harvey P. Dale, Aug 19 2012 *)
CROSSREFS
Sequence in context: A197205 A197803 A099057 * A127605 A278775 A013975
KEYWORD
nonn,easy
AUTHOR
Mohamed Bouhamida, Oct 10 2006
EXTENSIONS
More terms from Max Alekseyev, Nov 13 2009
More terms from Harvey P. Dale, Aug 19 2012
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)