A041082 Numerators of continued fraction convergents to sqrt(48).

6, 7, 90, 97, 1254, 1351, 17466, 18817, 243270, 262087, 3388314, 3650401, 47193126, 50843527, 657315450, 708158977, 9155223174, 9863382151, 127515808986, 137379191137, 1776066102630, 1913445293767

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 (0,14,0,-1).

Crossrefs

Cf. A010502, A041083.

Programs

Mathematica

Numerator[Convergents[Sqrt[48], 30]] (* Vincenzo Librandi, Oct 25 2013 *)
LinearRecurrence[{0,14,0,-1},{6,7,90,97},30] (* Harvey P. Dale, Aug 30 2020 *)

Formula

a(n) = 14*a(n-2)-a(n-4). G.f.: (6+7*x+6*x^2-x^3)/((1-4*x+x^2)*(1+4*x+x^2)). [Colin Barker, Jul 15 2012]