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Search: id:A158253
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| 288, 577, 866, 1155, 1444, 1733, 2022, 2311, 2600, 2889, 3178, 3467, 3756, 4045, 4334, 4623, 4912, 5201, 5490, 5779, 6068, 6357, 6646, 6935, 7224, 7513, 7802, 8091, 8380, 8669, 8958, 9247, 9536, 9825, 10114, 10403, 10692, 10981, 11270, 11559
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OFFSET
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1,1
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COMMENT
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If A=[A158252] 289*n.^2-2*n (n>0, 287, 1152, 2595, ,.,); Y=[A010856] 17 (17, 17, 17 ,.,); X=[A158253] 289*n-1 (n>0, 288, 577, 866, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 288^2-287*17^2=1; 577^2-1152*17^2=1; 866^2-2595*17^2=1.
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LINKS
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Wolfram MathWorld, Pell Equation
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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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)=288; n=2, a(2)=577; n=3, a(3)=866
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CROSSREFS
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Cf. A010856, A158252
Sequence in context: A061831 A082994 A127350 this_sequence A128392 A049230 A033692
Adjacent sequences: A158250 A158251 A158252 this_sequence A158254 A158255 A158256
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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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