A042687 Denominators of continued fraction convergents to sqrt(873).

1, 1, 2, 9, 11, 75, 86, 161, 569, 3575, 11294, 14869, 26163, 171847, 198010, 963887, 1161897, 2125784, 124457369, 126583153, 251040522, 1130745241, 1381785763, 9421459819, 10803245582, 20224705401, 71477361785, 449088876111, 1418743990118, 1867832866229

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, 125619266, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 125619266*a(n-18) - a(n-36) for n>35. - Vincenzo Librandi, Jan 26 2014

Mathematica

Denominator[Convergents[Sqrt[873], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A040843, A042686.

Sequence in context: A134775 A042573 A041651 * A083159 A041335 A042147

Adjacent sequences: A042684 A042685 A042686 * A042688 A042689 A042690

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 26 2014

Status

approved