A041110 Numerators of continued fraction convergents to sqrt(63).

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

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,16,0,-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

Cf. A010516, A041111.

Sequence in context: A219518 A029496 A041109 * A041259 A371104 A041473

Adjacent sequences: A041107 A041108 A041109 * A041111 A041112 A041113

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved