A042589 Denominators of continued fraction convergents to sqrt(823).

1, 1, 3, 13, 16, 125, 266, 391, 657, 1048, 1705, 14688, 16393, 309762, 1255441, 2820644, 4076085, 15048899, 34173883, 83396665, 451157208, 534553873, 14884111779, 15418665652, 91977440039, 199373545730, 490724531499, 1671547140227, 2162271671726, 5996090483679

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 470340949807288012336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Mathematica

Denominator[Convergents[Sqrt[823], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

Crossrefs

Cf. A040794, A042588.

Sequence in context: A042133 A041297 A041815 * A218364 A370726 A107922

Adjacent sequences: A042586 A042587 A042588 * A042590 A042591 A042592

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 25 2014

Status

approved