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Search: id:A010852
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| 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13
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OFFSET
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0,1
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COMMENT
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If A=[A158218] 169*n.^2-2*n (n>0, 167, 672, 1515, ,. ,.,); Y=[A010852] 13 (13, 13, 13,.,); X=[A158219] 169*n-1 (n>0, 168, 337, 506, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 168^2-167*13^2=1; 337^2-672*13^2=1; 506^2-1515*13^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]
If A=[A158220] 169*n.^2+2*n (n>0, 171, 680, 1527, ,. ,.,); Y=[A010852] 13 (13, 13, 13,.,); X=[A158221] 169*n+1 (n>0, 170, 339, 508, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 170^2-171*13^2=1; 339^2-680*13^2=1; 508^2-1527*13^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]
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LINKS
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Tanya Khovanova, Recursive Sequences
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CROSSREFS
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Cf. A158218, A158219 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]
Cf. A158220, A158221 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]
Sequence in context: A113548 A051392 A112126 this_sequence A072519 A060362 A003888
Adjacent sequences: A010849 A010850 A010851 this_sequence A010853 A010854 A010855
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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