Search: id:A010731
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%I A010731
%S A010731 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,
%T A010731 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,
%U A010731 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
%N A010731 Constant sequence.
%C A010731 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]
%C A010731 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]
%H A010731 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A010731 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A010731 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=1016">
               Encyclopedia of Combinatorial Structures 1016</a>
%Y A010731 Cf. A158070, A158071 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Mar 12 2009]
%Y A010731 Sequence in context: A125555 A010531 A031176 this_sequence A048762 A160949 
               A048763
%Y A010731 Adjacent sequences: A010728 A010729 A010730 this_sequence A010732 A010733 
               A010734
%K A010731 nonn
%O A010731 0,1
%A A010731 N. J. A. Sloane (njas(AT)research.att.com).

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