Search: id:A157770
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%I A157770
%S A157770 116250751,2428905601,7706362951,15948622801,27155685151
%N A157770 a(n)=1482401250*n^2-2134548900*n+768398401 (n>0)
%C A157770 If A=[A157768] 27225*n.^2-39202*n +14112 (2135, 44608, 141531,.,); Y=[A157769] 
               8984250*n - 6468330 (2515920, 11500170, 20484420..,); X=[A157770] 
               1482401250*n^2-2134548900*n + 768398401 (116250751, 2428905601, 7706362951,
               .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 
               116250751^2-2135 *2515920^2=1; 2428905601^2-44608*11500170^2=1.
%H A157770 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 A157770 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%H A157770 Wolfram MathWorld, <a href="http://mathworld.wolfram.com/PellEquation.html">
               Pell Equation</a>
%F A157770 a(n)=1482401250*n^2-2134548900*n+768398401 (n>0)
%e A157770 For n=1, a(1)=116250751; n=2, a(2)=2428905601
%Y A157770 Cf. A157768, A157769
%Y A157770 Sequence in context: A068538 A147581 A112018 this_sequence A015380 A038131 
               A081734
%Y A157770 Adjacent sequences: A157767 A157768 A157769 this_sequence A157771 A157772 
               A157773
%K A157770 nonn
%O A157770 1,1
%A A157770 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 06 2009

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