Search: id:A158305
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%I A158305
%S A158305 322,1292,2910,5176,8090,11652,15862,20720,26226,32380,39182,46632,
%T A158305 54730,63476,72870,82912,93602,104940,116926,129560,142842,156772,
%U A158305 171350,186576,202450,218972,236142,253960,272426,291540,311302,331712
%N A158305 a(n)=324*n^2-2*n (n>0)
%C A158305 If A=[A158305] 324*n.^2-2*n (n>0, 322, 1292, 2910,.,); Y=[A010857] 18 
               (18, 18, 18, ,.,); X=[A158306] 324*n-1 (n>0, 323, 647, 971, .,), 
               we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 323^2-322*18^2=1; 
               647^2-1292*18^2=1; 971^2-2910*18^2=1.
%H A158305 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 A158305 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%H A158305 Wolfram MathWorld, <a href="http://mathworld.wolfram.com/PellEquation.html">
               Pell Equation</a>
%F A158305 a(n)=324*n^2-2*n (n>0)
%e A158305 For n=1, a(1)=322; n=2, a(2)=1292; n=3, a(3)=2910
%Y A158305 Cf. A010857, A158306
%Y A158305 Sequence in context: A004947 A004967 A114358 this_sequence A033524 A082947 
               A082948
%Y A158305 Adjacent sequences: A158302 A158303 A158304 this_sequence A158306 A158307 
               A158308
%K A158305 nonn
%O A158305 1,1
%A A158305 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 16 2009

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