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Search: id:A158252
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| 287, 1152, 2595, 4616, 7215, 10392, 14147, 18480, 23391, 28880, 34947, 41592, 48815, 56616, 64995, 73952, 83487, 93600, 104291, 115560, 127407, 139832, 152835, 166416, 180575, 195312, 210627, 226520, 242991, 260040, 277667, 295872, 314655
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OFFSET
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1,1
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COMMENT
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If A=[A158252] 289*n.^2-2*n (n>0, 287, 1152, 2595, ,.,); Y=[A010856] 17 (17, 17, 17 ,.,); X=[A158253] 289*n-1 (n>0, 288, 577, 866, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 288^2-287*17^2=1; 577^2-1152*17^2=1; 866^2-2595*17^2=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)=289*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=287; n=2, a(2)=1152; n=3, a(3)=2595
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CROSSREFS
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Cf. A010856, A158253
Sequence in context: A157997 A063362 A159949 this_sequence A158287 A112245 A011817
Adjacent sequences: A158249 A158250 A158251 this_sequence A158253 A158254 A158255
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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 15 2009
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