Search: id:A157796
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%I A157796
%S A157796 16471,86048,210075,388552,621479,908856,1250683,1646960,2097687,
%T A157796 2602864,3162491,3776568,4445095,5168072,5945499,6777376,7663703,
%U A157796 8604480,9599707,10649384,11753511,12912088,14125115,15392592,16714519
%N A157796 a(n)=27225*n^2-12098*n+1344 (n>0)
%C A157796 If A=[A157796] 27225*n.^2-12098*n +1344 (16471, 86048, 210075,.,); Y=[A157797] 
               8984250*n -1996170 (6988080, 15972330, 24956580,..,); X=[A157798] 
               1482401250*n^2-658736100*n +73180801 (896845951, 4685313601,.,), 
               we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 896845951^2-16471 
               *6988080^2=1; 4685313601^2-86048*15972330^2=1.
%H A157796 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 A157796 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5785989&tstart=0">
               X^2-AY^2=1</a>
%H A157796 Wolfram MathWorld, <a href="http://mathworld.wolfram.com/PellEquation.html">
               Pell Equation</a>
%F A157796 a(n)=27225*n^2-12098*n+1344 (n>0)
%e A157796 For n=1, a(1)=16471; n=2, a(2)=86048; n=3, a(3)=210075
%Y A157796 Cf. A157797, A157798
%Y A157796 Sequence in context: A076166 A031829 A057680 this_sequence A091089 A109028 
               A057329
%Y A157796 Adjacent sequences: A157793 A157794 A157795 this_sequence A157797 A157798 
               A157799
%K A157796 nonn
%O A157796 1,1
%A A157796 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 07 2009

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