1,1

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.

Edward Everett Withford, Pell Equation

Vincenzo Librandi, X^2-AY^2=1

Wolfram MathWorld, Pell Equation

a(n)=1482401250*n^2-658736100*n+73180801 (n>0)

For n=1, a(1)=896845951; n=2, a(2)=4685313601

Cf. A157796, A157797

Sequence in context: A132216 A091340 A114665 this_sequence A051470 A076135 A015382

Adjacent sequences: A157795 A157796 A157797 this_sequence A157799 A157800 A157801

nonn

Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 07 2009