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Search: id:A157660
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| 7960, 15960, 23960, 31960, 39960, 47960, 55960, 63960, 71960, 79960, 87960, 95960, 103960, 111960, 119960, 127960, 135960, 143960, 151960, 159960, 167960, 175960, 183960, 191960, 199960, 207960, 215960, 223960, 231960, 239960, 247960, 255960
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OFFSET
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1,1
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COMMENT
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If A=[A157659] 100*n.^2-n (99, 398, 897, 1596 ,..,); Y=[A157660] 8000*n-40 (7960, 15960, 23960..,); X=[A157661] 80000*n^2-800*n+1 (79201, 318401, 717601,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 79201^2-99*7960^2=1; 318401^2-398*15960^2=1; 717601^2-897*23960^2=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-40 (n>0)
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EXAMPLE
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For n=1, a(1)=7960; n=2, a(2)=15960; n=3, a(3)=23960
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CROSSREFS
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Cf. A157659, A157661
Sequence in context: A162010 A023322 A064246 this_sequence A126893 A043614 A013813
Adjacent sequences: A157657 A157658 A157659 this_sequence A157661 A157662 A157663
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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 04 2009
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