A041218 Numerators of continued fraction convergents to sqrt(120).

10, 11, 230, 241, 5050, 5291, 110870, 116161, 2434090, 2550251, 53439110, 55989361, 1173226330, 1229215691, 25757540150, 26986755841, 565492656970, 592479412811, 12415080913190, 13007560326001

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,22,0,-1).

Formula

a(n) = 22*a(n-2)-a(n-4). G.f.: (10+11*x+10*x^2-x^3)/(1-22*x^2+x^4). [Colin Barker, Jul 15 2012]

Mathematica

Numerator[Convergents[Sqrt[120], 30]] (* Vincenzo Librandi, Oct 26 2013 *)
LinearRecurrence[{0, 22, 0, -1}, {10, 11, 230, 241}, 20] (* Harvey P. Dale, Jun 08 2018 *)

Crossrefs

Cf. A041219.

Sequence in context: A335801 A363835 A041217 * A300458 A041917 A318089

Adjacent sequences: A041215 A041216 A041217 * A041219 A041220 A041221

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved