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Search: id:A157652
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| 6040, 14040, 22040, 30040, 38040, 46040, 54040, 62040, 70040, 78040, 86040, 94040, 102040, 110040, 118040, 126040, 134040, 142040, 150040, 158040, 166040, 174040, 182040, 190040, 198040, 206040, 214040, 222040, 230040, 238040, 246040, 254040
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OFFSET
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1,1
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COMMENT
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If A=[A157651] 100*n.^2-49*n +6 (57, 308, 759, 1410 ,..,); Y=[A157627] 8000*n-1960 (6040, 14040, 22040..,); X=[A157628] 80000*n^2-39200*n+4801 (45601, 246401, 607201,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 45601^2-57*6040^2=1; 246401^2-308*14040^2=1; 607201^2-759*22040^2=1.
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LINKS
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Philippe Chevanne, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=8000*n-1960 (n>0)
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EXAMPLE
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For n=1, a(1)=6040; n=2, a(2)=14040; n=3, a(3)=22040
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CROSSREFS
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Cf. A157651, A157653
Sequence in context: A143043 A031821 A064248 this_sequence A157267 A084804 A025515
Adjacent sequences: A157649 A157650 A157651 this_sequence A157653 A157654 A157655
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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 03 2009
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