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Search: id:A158255
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| 290, 579, 868, 1157, 1446, 1735, 2024, 2313, 2602, 2891, 3180, 3469, 3758, 4047, 4336, 4625, 4914, 5203, 5492, 5781, 6070, 6359, 6648, 6937, 7226, 7515, 7804, 8093, 8382, 8671, 8960, 9249, 9538, 9827, 10116, 10405, 10694, 10983, 11272, 11561
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If A=[A158254] 289*n.^2+2*n (n>0, 291, 1160, 2607, ,.,); Y=[A010856] 17 (17, 17, 17 ,.,); X=[A158255] 289*n+1 (n>0, 290, 579, 868, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 290^2-291*17^2=1; 579^2-1160*17^2=1; 868^2-2607*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+1 (n>0)
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EXAMPLE
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For n=1, a(1)=290; n=2, a(2)=579; n=3, a(3)=868
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CROSSREFS
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Cf. A010856, A158254
Sequence in context: A075420 A075421 A090839 this_sequence A075299 A031712 A108881
Adjacent sequences: A158252 A158253 A158254 this_sequence A158256 A158257 A158258
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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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