A042051 Denominators of continued fraction convergents to sqrt(549).

1, 2, 7, 65, 722, 787, 1509, 2296, 3805, 17516, 21321, 38837, 60158, 98995, 1149103, 10440922, 32471869, 75384660, 3500166229, 7075717118, 24727317583, 229621575365, 2550564646598, 2780186221963, 5330750868561, 8110937090524, 13441687959085, 61877688926864

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, 3532638098, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 3532638098*a(n-18) - a(n-36). - Wesley Ivan Hurt, Jun 26 2022

Mathematica

Denominator[Convergents[Sqrt[549], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

Crossrefs

Cf. A042050.

Sequence in context: A046855 A179043 A116985 * A196925 A246865 A133237

Adjacent sequences: A042048 A042049 A042050 * A042052 A042053 A042054

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 13 2014

Status

approved