Search: id:A010727
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%I A010727
%S A010727 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
%T A010727 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
%U A010727 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7
%N A010727 Constant sequence.
%C A010727 a(n)=(submitted A153466=232,610,1600,4192,10978,) mod 9. From A014217=1,
               1,2,4,6,11 and submitted A153382. [From Paul Curtz (bpcrtz(AT)free.fr), 
               Dec 27 2008]
%C A010727 Except for the first term of [A001080] and of [A001081], if X=[A001081] 
               (1,8,127,2024,32257,..,); Y=[A001080] (0,3,48,765,1192,..,) and A=[A010727] 
               (7,7,7,..,) we have, for all terms, Pell's equation X^2-A*Y^2=1. 
               Example: 8^2-7*3^2=1; 127^2-7*48^2=1; 2024^2-7*765^2=1; 32257^2-7*12192^2=1; 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 16 2009]
%C A010727 If A=[A157365] 49*n.^2+2*n (n>0, 51, 200, 447,.,. ,.,); Y=[A010727] 7 
               (7,7,7,.,.,); X=[A158066] 49*n+1 (n>0, 50, 99, 148, ,. .,), we have, 
               for all terms, Pell's equation X^2-A*Y^2=1. Example: 50^2-51*7^2=1; 
               99^2-200*7^2=1; 148^2-447*7^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Mar 12 2009]
%H A010727 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A010727 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A010727 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=1015">
               Encyclopedia of Combinatorial Structures 1015</a>
%Y A010727 Cf. A001080, A001081 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Feb 16 2009]
%Y A010727 Cf. A158066, A157365 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Mar 12 2009]
%Y A010727 Sequence in context: A112114 A031182 A106705 this_sequence A108689 A024583 
               A158812
%Y A010727 Adjacent sequences: A010724 A010725 A010726 this_sequence A010728 A010729 
               A010730
%K A010727 nonn
%O A010727 0,1
%A A010727 N. J. A. Sloane (njas(AT)research.att.com).

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