1,1

If A=[A157814] 27225*n.^2-2*n (27223, 108896, 245019,.,); Y=[A157815] 8984250*n -330 (8983920, 17968170..,); X=[A157816] 1482401250*n^2-108900*n +1 (1482292351, 5129387201,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example:1482292351^2-27223 *8983920^2=1; 5929387201^2-108896*17968170^2=1.

Edward Everett Withford, Pell Equation

Wolfram MathWorld, Pell Equation

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

a(n)=1482401250*n^2-108900*n+1 (n>0)

For n=1, a(1)=1482292351; n=2, a(2)=5929387201

Cf. A157814, A157815

Sequence in context: A048051 A073519 A166113 this_sequence A157822 A034616 A084551

Adjacent sequences: A157813 A157814 A157815 this_sequence A157817 A157818 A157819

nonn

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