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Search: id:A123395
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| A123395 |
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Sequence allows us to find X values of the equation: 7(X-Y)^4-16XY=0 with X>=Y. |
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+0
1
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| 0, 27, 6144, 1549125, 393289536, 99891091323, 25371897661440, 6444361377895077, 1636842406341623424, 415751526662194438875, 105599250926807591663616, 26821793983834918021139973
(list; graph; listen)
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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: 0,21,6048,1547595,393265152,99890702709,...
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FORMULA
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a(n)=c(n)*(1+d(n)) with c(0)=0,c(1)=3 and c(n)=16*c(n-1)-c(n-2) d(0)=1,d(1)=8 and d(n)=16*d(n-1)-d(n-2)
Contribution from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009: (Start)
For n>=4, a(n) = 270*a(n-1) - 4066*a(n-2) + 270*a(n-3) - a(n-4)
o.g.f.: 3*x*(9*x^2-382*x+9)/(x^2-16*x+1)/(x^2-254*x+1) (End)
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CROSSREFS
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Sequence in context: A166750 A046367 A059795 this_sequence A051680 A013828 A001321
Adjacent sequences: A123392 A123393 A123394 this_sequence A123396 A123397 A123398
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KEYWORD
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nonn
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AUTHOR
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Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Oct 14 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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