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A123283 X-values of solutions to the equation 3(X-Y)^4 - 8*X*Y = 0 with X >= Y. 1
0, 12, 1000, 96228, 9411920, 922099452, 90354627000, 8853814445268, 867583293703840, 85014307312378092, 8330534516925125000, 816307368189063783108, 79989791546404858955760 (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, 8, 960, 95832, 9408000, 922060648, 90354242880, ...
LINKS
FORMULA
a(n) = c(n)*(1+d(n)) with c(0)=0, c(1)=2 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.: 4*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, 12, 1000, 96228}, 20] (* Harvey P. Dale, Dec 22 2019 *)
CROSSREFS
Sequence in context: A079916 A204327 A370313 * A272855 A365571 A265488
KEYWORD
nonn,easy
AUTHOR
Mohamed Bouhamida, Oct 10 2006
EXTENSIONS
More terms from Max Alekseyev, Nov 13 2009
STATUS
approved

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Last modified July 18 13:04 EDT 2024. Contains 374378 sequences. (Running on oeis4.)