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Search: id:A158307
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| 359, 1440, 3243, 5768, 9015, 12984, 17675, 23088, 29223, 36080, 43659, 51960, 60983, 70728, 81195, 92384, 104295, 116928, 130283, 144360, 159159, 174680, 190923, 207888, 225575, 243984, 263115, 282968, 303543, 324840, 346859, 369600
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OFFSET
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1,1
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COMMENT
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If A=[A158307] 361*n.^2-2*n (n>0, 359, 1440, 3243,.,); Y=[A010858] 19 (19, 19, 19, ,.,); X=[A158308] 361*n-1 (n>0, 360, 721, 1082, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 360^2-359*19^2=1; 721^2-1440*19^2=1; 1082^2-3243*19^2=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)=361*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=359; n=2, a(2)=1440; n=3, a(3)=3243
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CROSSREFS
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Cf. A010858, A158308
Sequence in context: A054826 A101796 A142852 this_sequence A101996 A160523 A097570
Adjacent sequences: A158304 A158305 A158306 this_sequence A158308 A158309 A158310
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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 16 2009
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