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Search: id:A158392
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| 674, 2700, 6078, 10808, 16890, 24324, 33110, 43248, 54738, 67580, 81774, 97320, 114218, 132468, 152070, 173024, 195330, 218988, 243998, 270360, 298074, 327140, 357558, 389328, 422450, 456924, 492750, 529928, 568458, 608340, 649574, 692160
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OFFSET
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1,1
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COMMENT
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If A=[A158392] 676*n.^2-2*n (n>0, 674, 2700, 6078,.,); Y=[A010865] 26 (26, 26, 26, ,.,); X=[A158393] 676*n-1 (n>0, 675, 1351, 2027, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 675^2-674*26^2=1; 1351^2-2700*26^2=1; 2027^2-6078*26^2=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)=676*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=674; n=2, a(2)=2700; n=3, a(3)=6078
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CROSSREFS
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Cf. A010865, A158393
Sequence in context: A057802 A047728 A160209 this_sequence A124942 A158393 A159208
Adjacent sequences: A158389 A158390 A158391 this_sequence A158393 A158394 A158395
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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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