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Search: id:A010870
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| 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31
(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=[A158410] 961*n.^2-2*n (n>0, 959, 3840, 8643,.,); Y=[A010870] 31 (31, 31, 31, ,.,); X=[A158412] 961*n-1 (n>0, 960, 1921, 2882, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 960^2-959*31^2=1; 1921^2-3840*31^2=1; 2882^2-8643*31^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]
If A=[A158413] 961*n.^2+2*n (n>0, 963, 3848, 8655,.,); Y=[A010870] 31 (31, 31, 31, ,.,); X=[A158414] 961*n+1 (n>0, 962, 1923, 2884, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 962^2-963*31^2=1; 1923^2-3848*31^2=1; 2884^2-8655*31^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]
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LINKS
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Tanya Khovanova, Recursive Sequences
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CROSSREFS
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Cf. A158410, A158412 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]
Cf. A158413, A158414 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]
Sequence in context: A131762 A056999 A009734 this_sequence A003892 A085320 A140718
Adjacent sequences: A010867 A010868 A010869 this_sequence A010871 A010872 A010873
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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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