Search: id:A158065
Results 1-1 of 1 results found.

%I A158065
%S A158065 37,73,109,145,181,217,253,289,325,361,397,433,469,505,541,577,613,649,
%T A158065 685,721,757,793,829,865,901,937,973,1009,1045,1081,1117,1153,1189,1225,
%U A158065 1261,1297,1333,1369,1405,1441,1477,1513,1549,1585,1621
%N A158065 a(n)=36*n+1 (n>0)
%C A158065 If A=[A158064] 36*n.^2+2*n (n>0, 38, 148, 330,., ,.,); Y=[A010722] 6 
               (6, 6, 6,..,); X=[A158065] 36*n+1 (n>0, 37, 73, 109, ,. .,), we have, 
               for all terms, Pell's equation X^2-A*Y^2=1. Example: 37^2-38*6^2=1; 
               73^2-148*6^2=1; 109^2-330*6^2=1.
%H A158065 Wolfram MathWorld, <a href="http://mathworld.wolfram.com/PellEquation.html">
               Pell Equation</a>
%H A158065 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 A158065 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%F A158065 a(n)=36*n+1 (n>0)
%e A158065 For n=1, a(1)=37; n=2, a(2)=73; n=3, a(3)=109
%Y A158065 Cf. A158064, A010722
%Y A158065 Sequence in context: A155087 A044103 A044484 this_sequence A142100 A093838 
               A055604
%Y A158065 Adjacent sequences: A158062 A158063 A158064 this_sequence A158066 A158067 
               A158068
%K A158065 nonn
%O A158065 1,1
%A A158065 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009

Search completed in 0.001 seconds