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Search: id:A010858
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| 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19
(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=[A158307] 361*n.^2-2*n (n>0, 359, 1440, 3243,.,); Y=[A010858] 19 (19, 19, 19, ,.,); X=[A158308] 361*n-1 (n>0, 360, 721, 1082, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 360^2-359*19^2=1; 721^2-1440*19^2=1; 1082^2-3243*19^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 16 2009]
If A=[A158309] 361*n.^2+2*n (n>0, 363, 1448, 3255,.,); Y=[A010858] 19 (19, 19, 19, ,.,); X=[A158310] 361*n+1 (n>0, 362, 723, 1084, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 362^2-363*19^2=1; 723^2-1448*19^2=1; 1084^2-3255*19^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 16 2009]
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LINKS
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Tanya Khovanova, Recursive Sequences
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CROSSREFS
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Cf. A158307, A158308 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 16 2009]
Cf. A158309, A158310 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 16 2009]
Sequence in context: A082126 A131382 A057430 this_sequence A040343 A022353 A070853
Adjacent sequences: A010855 A010856 A010857 this_sequence A010859 A010860 A010861
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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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