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Search: id:A123377
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| A123377 |
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Sequence allows us to find X values of the equation: 5(X-Y)^4-XY=0 with X>=Y. |
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+0
1
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| 0, 10, 2916, 933470, 300476232, 96750651250, 31153377608748, 10031290272012230, 3230044304029586064, 1040064234424568675290, 334897453437128916148980, 107835939942462262098571310
(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: 0,8,2880,932824,300464640,96750443240,...
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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)=18*c(n-1)-c(n-2) d(0)=1,d(1)=9 and d(n)=18*d(n-1)-d(n-2)
Contribution from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009: (Start)
For n>=4, a(n) = 340*a(n-1) - 5798*a(n-2) + 340*a(n-3) - a(n-4)
o.g.f.: 2*x*(5*x^2-242*x+5)/(x^2-18*x+1)/(x^2-322*x+1) (End)
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CROSSREFS
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Sequence in context: A167775 A047945 A132675 this_sequence A061543 A133198 A001329
Adjacent sequences: A123374 A123375 A123376 this_sequence A123378 A123379 A123380
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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 13 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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