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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
OFFSET
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
Sequence in context: A156791 A223532 A041081 * A036417 A267255 A041357
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved