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Search: id:A158308
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| 360, 721, 1082, 1443, 1804, 2165, 2526, 2887, 3248, 3609, 3970, 4331, 4692, 5053, 5414, 5775, 6136, 6497, 6858, 7219, 7580, 7941, 8302, 8663, 9024, 9385, 9746, 10107, 10468, 10829, 11190, 11551, 11912, 12273, 12634, 12995, 13356, 13717, 14078
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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-1 (n>0)
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EXAMPLE
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For n=1, a(1)=360; n=2, a(2)=721; n=3, a(3)=1082
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CROSSREFS
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Cf. A010858, A158307
Sequence in context: A048978 A056502 A056492 this_sequence A112536 A140801 A056390
Adjacent sequences: A158305 A158306 A158307 this_sequence A158309 A158310 A158311
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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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