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Search: id:A010692
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| 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Also the representation of 2 in base 2 followed by 3 written in base 3, 4 in base 4, etc.
If A=[A158127] 100*n.^2+2*n (n>0, 102, 404, 906,.,. ,.,); Y=[A010692] 10 (10, 10, 10,.,); X=[A158128] 100*n+1 (n>0, 101, 201, 301, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 101^2-102*10^2=1; 201^2-404*10^2=1; 301^2-906*10^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 2009]
If A=[A158129] 100*n.^2-2*n (n>0, 98, 396, 894,.,. ,.,); Y=[A010692] 10 (10, 10, 10,.,); X=[A044812] 100*n-1 (n>0, 99, 199, 299, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 99^2-98*10^2=1; 199^2-396*10^2=1; 299^2-894*10^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 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
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CROSSREFS
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Cf. A158127, A158128 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 2009]
Cf. A158129, A044812 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 2009]
Sequence in context: A131722 A072803 A163139 this_sequence A109751 A160941 A070565
Adjacent sequences: A010689 A010690 A010691 this_sequence A010693 A010694 A010695
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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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