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

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

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).

Crossrefs

Cf. A041219.

Programs

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 *)

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]