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Search: id:A157803
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| A157803 |
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a(n)=8984250*n-8464830 (n>0) |
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+0
3
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| 519420, 9503670, 18487920, 27472170, 36456420, 45440670, 54424920, 63409170, 72393420, 81377670, 90361920, 99346170, 108330420, 117314670, 126298920, 135283170, 144267420, 153251670, 162235920, 171220170, 180204420, 189188670
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If A=[A157802] 27225*n.^2-51302*n +24168 (91, 30464, 115287,.,); Y=[A157803] 8984250*n -8464830 (519420, 9503670..,); X=[A157804] 1482401250*n^2-2793393900*n +1315947601 (4954951, 1658764801,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 4954951^2-91 *519420^2=1; 1658764801^2-30464*9503670^2=1.
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LINKS
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Philippe Chevanne, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Edward Everett Withford, Pell Equation
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FORMULA
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a(n)=8984250*n-8464830 (n>0)
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EXAMPLE
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For n=1, a(1)=519420; n=2, a(2)=9503670; n=3, a(3)=18487920
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CROSSREFS
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Cf. A157802, A157804
Sequence in context: A087096 A072959 A048527 this_sequence A013695 A075978 A075973
Adjacent sequences: A157800 A157801 A157802 this_sequence A157804 A157805 A157806
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 07 2009
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