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Search: id:A123397
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| A123397 |
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Sequence allows us to find X values of the equation: 9(X-Y)^4-2XY=0 with X>=Y. |
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+0
1
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| 0, 36, 39304, 45280620, 52251208976, 60297761989044, 69583562098521240, 80299370262508107516, 92665403695926847089184, 106935795565612276500481860, 123403815417308895154020255656
(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: 0,32,39168,45276000,52251052032,...
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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)=34*c(n-1)-c(n-2) d(0)=1,d(1)=17 and d(n)=34*d(n-1)-d(n-2)
Contribution from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009: (Start)
For n>=4, a(n) = 1188*a(n-1) - 39238*a(n-2) + 1188*a(n-3) - a(n-4)
o.g.f.: 4*x*(9*x^2-866*x+9)/(x^2-34*x+1)/(x^2-1154*x+1) (End)
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CROSSREFS
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Sequence in context: A159431 A028454 A159435 this_sequence A023111 A059493 A053945
Adjacent sequences: A123394 A123395 A123396 this_sequence A123398 A123399 A123400
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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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