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Search: id:A010854
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| 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15
(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=[A158226] 225*n.^2-2*n (n>0, 223, 896, 2019, ,. ,.,); Y=[A010854] 15 (15, 15, 15,.,); X=[A158227] 225*n-1 (n>0, 224, 449, 674, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 224^2-223*15^2=1; 449^2-896*15^2=1; 674^2-2019*15^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]
If A=[A158228] 225*n.^2+2*n (n>0, 227, 904, 2031, ,. ,.,); Y=[A010854] 15 (15, 15, 15,.,); X=[A158229] 225*n+1 (n>0, 226, 451, 676, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 226^2-227*15^2=1; 451^2-904*15^2=1; 676^2-2031*15^2=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. A158226, A158227 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]
Cf. A158228, A158229 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]
Sequence in context: A087979 A048294 A069785 this_sequence A003884 A140806 A085321
Adjacent sequences: A010851 A010852 A010853 this_sequence A010855 A010856 A010857
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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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