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Search: id:A123394
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| A123394 |
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Sequence allows us to find X values of the equation: 7(X-Y)^4-8XY=0 with X>=Y. |
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+0
1
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| 0, 64, 54000, 48387776, 43449047520, 39017102749504, 35037312017058000, 31463467090220398016, 28254158407188855215040, 25372202786113074403284544, 22784209847768873321556750000
(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: 0,56,53760,48380584,43448832000,
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FORMULA
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a(n)=c(n)*(1+d(n)) with c(0)=0,c(1)=4 and c(n)=30*c(n-1)-c(n-2) d(0)=1,d(1)=15 and d(n)=30*d(n-1)-d(n-2)
Contribution from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009: (Start)
a(n) = 2*A123393(n)
For n>=4, a(n) = 928*a(n-1) - 26942*a(n-2) + 928*a(n-3) - a(n-4)
o.g.f.: 16*x*(4*x^2-337*x+4)/(x^2-30*x+1)/(x^2-898*x+1) (End)
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CROSSREFS
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Sequence in context: A141092 A016830 A103346 this_sequence A069445 A159677 A013832
Adjacent sequences: A123391 A123392 A123393 this_sequence A123395 A123396 A123397
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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), 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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