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Search: id:A010731
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| 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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a(n)=A136016 (8,35,80,) mod 9 . A136016 is linked to Lyman and Paschen spectra of hydrogen. [From Paul Curtz (bpcrtz(AT)free.fr), Oct 28 2008]
If A=[A158070] 64*n.^2+2*n (n>0, 66, 260, 582,.,. ,.,); Y=[A010731] 8 (8,8,8,.,..,); X=[A158071] 64*n+1 (n>0, 65, 129, 193, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 65^2-66*8^2=1; 129^2-260*8^2=1; 193^2-582*8^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 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 1016
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CROSSREFS
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Cf. A158070, A158071 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009]
Sequence in context: A125555 A010531 A031176 this_sequence A048762 A160949 A048763
Adjacent sequences: A010728 A010729 A010730 this_sequence A010732 A010733 A010734
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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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