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Search: id:A123057
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| A123057 |
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Sequence allows us to find X values of the equation:: (X-Y)^4-8XY=0 with X>=Y. |
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+0
2
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| 0, 8, 216, 7000, 235824, 7999592, 271683720, 9228858808, 313507253856, 10650004589000, 361786571934264, 12290092993331992, 417501372591127440, 14182756559891488808, 481796221575048645096, 16366888776474950875000
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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: 0,4,192,6860,235008, 7994836,271656000,9228697244,...
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FORMULA
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a(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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Sequence in context: A060459 A007409 A069045 this_sequence A009072 A002897 A024289
Adjacent sequences: A123054 A123055 A123056 this_sequence A123058 A123059 A123060
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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 13 2009
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