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Search: id:A010862
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| 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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If A=[A158364] 529*n.^2-2*n (n>0, 527, 2112, 4755,.,); Y=[A010862] 23 (23, 23, 23 ,.,); X=[A158365] 529*n-1 (n>0, 528, 1057, 1586, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 528^2-527*23^2=1; 1057^2-2112*23^2=1; 1586^2-4755*23^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009]
If A=[A158367] 529*n.^2+2*n (n>0, 531, 2120, 4767,.,); Y=[A010862] 23 (23, 23, 23 ,.,); X=[A158368] 529*n+1 (n>0, 530, 1059, 1588, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 530^2-531*23^2=1; 1059^2-2120*23^2=1; 1588^2-4767*23^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009]
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LINKS
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Tanya Khovanova, Recursive Sequences
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CROSSREFS
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Cf. A158364, A158365 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009]
Cf. a158367, A158368 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009]
Sequence in context: A023465 A004464 A072135 this_sequence A141460 A040507 A022357
Adjacent sequences: A010859 A010860 A010861 this_sequence A010863 A010864 A010865
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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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