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Search: id:A123116
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| A123116 |
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Sequence allows us to find Y values of the equation: (X-Y)^4-8XY=0 with X>=Y. |
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1
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| 0, 4, 192, 6860, 235008, 7994836, 271656000, 9228697244, 313506312192, 10649999100580, 361786539945408, 12290092806887276, 417501371504448000, 14182756553557856884, 481796221538133532992, 16366888776259793834300
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OFFSET
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0,2
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COMMENT
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Sequence gives Y values. To find X values: a(n)=c(n)*(1+d(n))which gives: 0,8,216,7000,235824,7999592,271683720,9228858808,...
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FORMULA
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b(n)=c(n)*(-1+d(n)) with c(0)=0,c(1)=2 and c(n)=6*c(n-1)-c(n-2) d(0)=1,d(1)=3 and d(n)=6*d(n-1)-d(n-2)
For n>=4, a(n) = 40*a(n-1) - 206*a(n-2) + 40*a(n-3) - a(n-4) [From Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009]
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CROSSREFS
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Cf. A123057.
Sequence in context: A156905 A102194 A102191 this_sequence A163839 A012015 A012102
Adjacent sequences: A123113 A123114 A123115 this_sequence A123117 A123118 A123119
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KEYWORD
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nonn,new
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AUTHOR
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Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Sep 28 2006
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EXTENSIONS
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More terms from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009
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