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Search: id:A157998
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| 168, 674, 1518, 2700, 4220, 6078, 8274, 10808, 13680, 16890, 20438, 24324, 28548, 33110, 38010, 43248, 48824, 54738, 60990, 67580, 74508, 81774, 89378, 97320, 105600, 114218, 123174, 132468, 142100, 152070, 162378, 173024, 184008, 195330
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OFFSET
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1,1
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COMMENT
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If A=[A157998] 169*n.^2-n (168, 674, 1518,. ,.,); Y=[A010865] 26 (26, 26, 26,..,); X=[A157999] 338*n-1 (337, 675, 1013, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 337^2-168 *26^2=1; 675^2-674*26^2=1; 1013^2-1518*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)=169*n^2-n (n>0)
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EXAMPLE
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For n=1, a(1)=168; n=2, a(2)=674; n=3, a(3)=1518
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CROSSREFS
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Cf. A010865, A157999
Sequence in context: A158219 A027679 A137863 this_sequence A110285 A070835 A112551
Adjacent sequences: A157995 A157996 A157997 this_sequence A157999 A158000 A158001
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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 11 2009
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