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Search: id:A157825
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| 107760, 1835760, 3563760, 5291760, 7019760, 8747760, 10475760, 12203760, 13931760, 15659760, 17387760, 19115760, 20843760, 22571760, 24299760, 26027760, 27755760, 29483760, 31211760, 32939760, 34667760, 36395760
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OFFSET
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1,1
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COMMENT
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If A=[A157824] 3600*n.^2-6751*n +3165 (14, 4063, 15312,.,); Y=[A157825] 1728000*n - 1620240 (107760, 1835760..,); X=[A157826] 103680000*n^2-194428800*n +91152001 (403201, 117014401,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example:403201^2-14 *107760^2=1; 117014401^2-4063*1835760^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=1728000*n-1620240
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EXAMPLE
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For n=1, a(1)=107760 n=2, a(2)=1835760; n=3, a(3)=3563760
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CROSSREFS
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Cf. A157824, A157826
Sequence in context: A122711 A061332 A158964 this_sequence A102333 A157533 A111888
Adjacent sequences: A157822 A157823 A157824 this_sequence A157826 A157827 A157828
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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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