A042553 Denominators of continued fraction convergents to sqrt(805).

1, 2, 3, 8, 43, 51, 706, 1463, 2169, 23153, 25322, 73797, 984683, 1058480, 6277083, 13612646, 19889729, 53392104, 3009847553, 6073087210, 9082934763, 24238956736, 130277718443, 154516675179, 2138994495770, 4432505666719, 6571500162489, 70147507291609

Offset

0,2

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, 3029737282, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 3029737282*a(n-18) - a(n-36) for n>35. - Vincenzo Librandi, Jan 25 2014

Mathematica

Denominator/@Convergents[Sqrt[805], 30] (* Harvey P. Dale, Dec. 11, 2010 *)

Crossrefs

Cf. A040776, A042552.

Sequence in context: A007119 A064794 A127005 * A042139 A118127 A100644

Adjacent sequences: A042550 A042551 A042552 * A042554 A042555 A042556

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 25 2014

Status

approved