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Search: id:A158231
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| 257, 513, 769, 1025, 1281, 1537, 1793, 2049, 2305, 2561, 2817, 3073, 3329, 3585, 3841, 4097, 4353, 4609, 4865, 5121, 5377, 5633, 5889, 6145, 6401, 6657, 6913, 7169, 7425, 7681, 7937, 8193, 8449, 8705, 8961, 9217, 9473, 9729, 9985, 10241, 10497
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OFFSET
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1,1
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COMMENT
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If A=[A158230] 256*n.^2+2*n (n>0g 258, 1028, 2310, , ,.,); Y=[A010855] 16 (16, 16, 16, ,.,); X=[A158231] 256*n+1 (n>0, 257, 513, 769, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 257^2-258*16^2=1; 513^2-1028*16^2=1;769^2-2310*16^2=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)=256*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=257; n=2, a(2)=513; n=3, a(3)=769
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CROSSREFS
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Cf. A010855, A158230
Sequence in context: A062382 A105345 A060261 this_sequence A070815 A095321 A100633
Adjacent sequences: A158228 A158229 A158230 this_sequence A158232 A158233 A158234
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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 14 2009
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