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Search: id:A158364
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| 527, 2112, 4755, 8456, 13215, 19032, 25907, 33840, 42831, 52880, 63987, 76152, 89375, 103656, 118995, 135392, 152847, 171360, 190931, 211560, 233247, 255992, 279795, 304656, 330575, 357552, 385587, 414680, 444831, 476040, 508307, 541632
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OFFSET
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1,1
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COMMENT
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If A=[A158364] 529*n.^2-2*n (n>0, 527, 2112, 4755,.,); Y=[A010862] 23 (23, 23, 23 ,.,); X=[A158365] 529*n-1 (n>0, 528, 1057, 1586, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 528^2-527*23^2=1; 1057^2-2112*23^2=1; 1586^2-4755*23^2=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)=529*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=527; n=2, a(2)=2112; n=3, a(3)=4755
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CROSSREFS
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Cf. A010862, A158365
Sequence in context: A020379 A093226 A153660 this_sequence A085329 A157475 A158365
Adjacent sequences: A158361 A158362 A158363 this_sequence A158365 A158366 A158367
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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 17 2009
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