Search: id:A158393
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%I A158393
%S A158393 675,1351,2027,2703,3379,4055,4731,5407,6083,6759,7435,8111,8787,9463,
%T A158393 10139,10815,11491,12167,12843,13519,14195,14871,15547,16223,16899,
%U A158393 17575,18251,18927,19603,20279,20955,21631,22307,22983,23659,24335
%N A158393 a(n)=676*n-1 (n>0)
%C A158393 If A=[A158392] 676*n.^2-2*n (n>0, 674, 2700, 6078,.,); Y=[A010865] 26 
               (26, 26, 26, ,.,); X=[A158393] 676*n-1 (n>0, 675, 1351, 2027, .,), 
               we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 675^2-674*26^2=1; 
               1351^2-2700*26^2=1; 2027^2-6078*26^2=1.
%H A158393 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 A158393 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%H A158393 Wolfram MathWorld, <a href="http://mathworld.wolfram.com/PellEquation.html">
               Pell Equation</a>
%F A158393 a(n)=676*n-1 (n>0)
%e A158393 For n=1, a(1)=675; n=2, a(2)=1351; n=3, a(3)=2027
%Y A158393 Cf. A010865, A158392
%Y A158393 Sequence in context: A160209 A158392 A124942 this_sequence A159208 A064963 
               A059745
%Y A158393 Adjacent sequences: A158390 A158391 A158392 this_sequence A158394 A158395 
               A158396
%K A158393 nonn
%O A158393 1,1
%A A158393 Vincenzo Librandi (vincenzo.lbrandi(AT)tin.it), Mar 18 2009

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