Search: id:A157626
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%I A157626
%S A157626 6,155,504,1053,1802,2751,3900,5249,6798,8547,10496,12645,14994,17543,
%T A157626 20292,23241,26390,29739,33288,37037,40986,45135,49484,54033,58782,
%U A157626 63731,68880,74229,79778,85527,91476,97625,103974,110523,117272,124221
%N A157626 a(n)=100*n^2-151*n+57 (n>0)
%C A157626 If A=[A157626] 100*n.^2-151*n +57 (6, 155, 504 ,..,); Y=[A157627] 8000*n-6040 
               (1960, 9960, 17960..,); X=[A157628] 80000*n^2-120800*n+45601 (4801, 
               124001, 403201,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. 
               Example: 4801^2-6*1960^2=1; 124001^2-155*9960^2=1; 403201^2-504*17960^2=1.
%H A157626 Wolfram MathWorld, <a href="http://mathworld.wolfram.com/PellEquation.html">
               Pell Equation</a>
%H A157626 Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=5773864&tstart=0">
               X^2-AY^2=1</a>
%F A157626 a(n)=100*n^2-151*n+57 (n>0)
%e A157626 For n=1, a(1)=6; n=2, a(2)=155; n=3, a(3)=504
%Y A157626 Cf. A157627, A157628
%Y A157626 Sequence in context: A046182 A092122 A003460 this_sequence A128120 A030449 
               A120277
%Y A157626 Adjacent sequences: A157623 A157624 A157625 this_sequence A157627 A157628 
               A157629
%K A157626 nonn
%O A157626 1,1
%A A157626 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 03 2009

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