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Search: id:A158395
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| 728, 1457, 2186, 2915, 3644, 4373, 5102, 5831, 6560, 7289, 8018, 8747, 9476, 10205, 10934, 11663, 12392, 13121, 13850, 14579, 15308, 16037, 16766, 17495, 18224, 18953, 19682, 20411, 21140, 21869, 22598, 23327, 24056, 24785, 25514, 26243
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OFFSET
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1,1
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COMMENT
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If A=[A158394] 729*n.^2-2*n (n>0, 727, 2912, 6555,.,); Y=[A010866] 27 (27, 27, 27, ,.,); X=[A158395] 729*n-1 (n>0, 728, 1457, 2186, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 728^2-727*27^2=1; 1457^2-2912*27^2=1; 2186^2-6555*27^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=729*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=728; n=2, a(2)=1457; n=3, a(3)=2186
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CROSSREFS
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Cf. A010866, A158394
Sequence in context: A056084 A023704 A043487 this_sequence A050219 A051383 A085479
Adjacent sequences: A158392 A158393 A158394 this_sequence A158396 A158397 A158398
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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 18 2009
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