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A041082 Numerators of continued fraction convergents to sqrt(48). 2
6, 7, 90, 97, 1254, 1351, 17466, 18817, 243270, 262087, 3388314, 3650401, 47193126, 50843527, 657315450, 708158977, 9155223174, 9863382151, 127515808986, 137379191137, 1776066102630, 1913445293767 (list; graph; refs; listen; history; text; internal format)
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 *)

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

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Last modified February 28 01:15 EST 2020. Contains 332319 sequences. (Running on oeis4.)