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A041110
Numerators of continued fraction convergents to sqrt(63).
2
7, 8, 119, 127, 1897, 2024, 30233, 32257, 481831, 514088, 7679063, 8193151, 122383177, 130576328, 1950451769, 2081028097, 31084845127, 33165873224, 495407070263, 528572943487, 7895428279081, 8424001222568
OFFSET
0,1
FORMULA
a(n) = 16*a(n-2)-a(n-4). G.f.: (7+8*x+7*x^2-x^3)/(1-16*x^2+x^4). [Colin Barker, Jul 15 2012]
MATHEMATICA
Numerator[Convergents[Sqrt[63], 30]] (* Vincenzo Librandi, Oct 26 2013 *)
LinearRecurrence[{0, 16, 0, -1}, {7, 8, 119, 127}, 30] (* Harvey P. Dale, Dec 17 2019 *)
CROSSREFS
Sequence in context: A219518 A029496 A041109 * A041259 A371104 A041473
KEYWORD
nonn,cofr,frac,easy
STATUS
approved