Search: id:A158067
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%I A158067
%S A158067 62,252,570,1016,1590,2292,3122,4080,5166,6380,7722,9192,10790,12516,
%T A158067 14370,16352,18462,20700,23066,25560,28182,30932,33810,36816,39950,
%U A158067 43212,46602,50120,53766,57540,61442,65472,69630,73916,78330,82872
%N A158067 a(n)=64*n^2-2*n (n>0)
%C A158067 If A=[A158067] 64*n.^2-2*n (n>0, 62, 252, 570,.,. ,.,); Y=[A010731] 8 
               (8,8,8,.,..,); X=[A044631] 64*n-1 (n>0, 63, 127, 191, ,. .,), we 
               have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 63^2-62*8^2=1; 
               127^2-252*8^2=1; 191^2-570*8^2=1.
%H A158067 Edward Everett Withford, <a href="http://quod.lib.umich.edu/cgi/t/text/
               text-idx?c=umhistmath;cc=umhistmath;idno=abv2773.0001.001;view=toc">
               Pell Equation</a>
%H A158067 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%H A158067 Wolfram MathWorld, <a href="http://mathworld.wolfram.com/PellEquation.html">
               Pell Equation</a>
%F A158067 a(n)=64*n^2-2*n (n>0)
%e A158067 For n=1, a(1)=62; n=2, a(2)=252; n=3, a(3)=570
%Y A158067 Cf. A010731, A044631
%Y A158067 Sequence in context: A045274 A045175 A100423 this_sequence A045220 A100158 
               A100166
%Y A158067 Adjacent sequences: A158064 A158065 A158066 this_sequence A158068 A158069 
               A158070
%K A158067 nonn
%O A158067 1,1
%A A158067 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009

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