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

0,1

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).

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]

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 *)

Crossrefs

Cf. A010502, A041083.

Sequence in context: A156791 A223532 A041081 * A036417 A267255 A041357

Adjacent sequences: A041079 A041080 A041081 * A041083 A041084 A041085

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved