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Search: id:A123056
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| A123056 |
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Sequence allows us to find X values of the equation:: (X-Y)^4-2XY=0 with X>=Y. |
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+0
2
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| 0, 4, 108, 3500, 117912, 3999796, 135841860, 4614429404, 156753626928, 5325002294500, 180893285967132, 6145046496665996, 208750686295563720, 7091378279945744404, 240898110787524322548, 8183444388237475437500
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OFFSET
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0,2
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COMMENT
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Sequence gives X values. To find Y values: b(n)=c(n)*(-1+d(n))which gives: 0, 2, 96, 3430, 117504, 3997418, 135828000, 4614348622, ...
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FORMULA
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a(n)=c(n)*(1+d(n)) with c(0)=0,c(1)=1 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 12 2009]
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CROSSREFS
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Sequence in context: A104595 A128865 A131092 this_sequence A024263 A090205 A061464
Adjacent sequences: A123053 A123054 A123055 this_sequence A123057 A123058 A123059
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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 26 2006
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EXTENSIONS
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More terms from Max Alekseyev (maxale(AT)gmail.com), Nov 12 2009
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