Search: id:A157788
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%I A157788
%S A157788 768398401,4385348551,10967101201,20513656351
%N A157788 a(n)=1482401250*n^2-830253600*n+116250751 (n>0)
%C A157788 If A=[A157786] 27225*n.^2-15248*n +2135 (14112, 80539, 201416,.,); Y=[A157787] 
               8984250*n -2515920 (6468330, 15452580,..,); X=[A157770] 1482401250*n^2-830253600*n 
               +116250751 (768398401, 4385348551,.,), we have, for all terms, Pell's 
               equation X^2-A*Y^2=1. Example: 768398401^2-14112 *6468330^2=1; 4385348551^2-80539*15452580^2=1.
%H A157788 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 A157788 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%H A157788 Philippe Chevanne, <a href="http://mathafou.free.fr/themes/kpell.html">
               Pell Equation</a>
%F A157788 a(n)=1482401250*n^2-830253600*n+116250751 (n>0)
%e A157788 For n=1, a(1)=768398401; n=2, a(2)=4385348551
%Y A157788 Cf. A157786, A157787
%Y A157788 Sequence in context: A068725 A104932 A118876 this_sequence A058420 A166121 
               A046186
%Y A157788 Adjacent sequences: A157785 A157786 A157787 this_sequence A157789 A157790 
               A157791
%K A157788 nonn
%O A157788 1,1
%A A157788 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 06 2009

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