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Search: id:A010701
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| 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Except for the first term of [A132355] (0,7,11,32,40,...) and [A056020] (1,8,10,17,19,...,], if X=[A056020], Y=[A010701] (3,3,3,3,.) and A=[A132355], we have for all other terms, Pell's equation X^2-A*Y^2=1. Example: 8^2-7*3^2=1; 10^2-11*3^2=1; 17^2-32*3^2=1; 19^2-40*3^2=1 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 20 2009]
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1011
Daniele A. Gewurz and Francesca Merola, Sequences realized as Parker vectors ..., J. Integer Seqs., Vol. 6, 2003.
Vincenzo Librandi, X^2-AY^2=1 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 20 2009]
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CROSSREFS
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Cf. A132355, A056020 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 20 2009]
Adjacent sequences: A010698 A010699 A010700 this_sequence A010702 A010703 A010704
Sequence in context: A122845 A135203 A102818 this_sequence A122553 A157831 A032552
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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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