1,1

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.

Edward Everett Withford, Pell Equation

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

Wolfram MathWorld, Pell Equation

a(n)=1482401250*n^2-2134548900*n+768398401 (n>0)

For n=1, a(1)=116250751; n=2, a(2)=2428905601

Cf. A157768, A157769

Sequence in context: A068538 A147581 A112018 this_sequence A015380 A038131 A081734

Adjacent sequences: A157767 A157768 A157769 this_sequence A157771 A157772 A157773

nonn

Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 06 2009