Search: id:A158386
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%I A158386
%S A158386 677,1353,2029,2705,3381,4057,4733,5409,6085,6761,7437,8113,8789,9465,
%T A158386 10141,10817,11493,12169,12845,13521,14197,14873,15549,16225,16901,
%U A158386 17577,18253,18929,19605,20281,20957,21633,22309,22985,23661,24337
%N A158386 a(n)=676*n+1 (n>0)
%C A158386 If A=[A158385] 676*n.^2+2*n (n>0, 678, 2708, 6090,.,); Y=[A010865] 26 
               (26, 26, 26, ,.,); X=[A158386] 676*n+1 (n>0, 677, 1353, 2029, .,), 
               we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 677^2-678*26^2=1; 
               1353^2-2708*26^2=1; 2029^2-6090*26^2=1.
%H A158386 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 A158386 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%H A158386 Wolfram MathWorld, <a href="http://mathworld.wolfram.com/PellEquation.html">
               Pell Equation</a>
%F A158386 a(n)=676*n+1 (n>0)
%e A158386 For n=1, a(1)=677; n=2, a(2)=1353, n=3, a(3)=2029
%Y A158386 Cf. A010865, A158385
%Y A158386 Sequence in context: A058450 A159893 A142755 this_sequence A031614 A031730 
               A108824
%Y A158386 Adjacent sequences: A158383 A158384 A158385 this_sequence A158387 A158388 
               A158389
%K A158386 nonn
%O A158386 1,1
%A A158386 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009

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