A042056 Numerators of continued fraction convergents to sqrt(552).

23, 47, 2185, 4417, 205367, 415151, 19302313, 39019777, 1814212055, 3667443887, 170516630857, 344700705601, 16026749088503, 32398198882607, 1506343897688425, 3045085994259457, 141580299633623447, 286205685261506351

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,94,0,-1).

Formula

G.f.: (1 + x)*(23 + 24*x - x^2)/(1 - 94*x^2 + x^4). - Vincenzo Librandi, Nov 13 2013

a(n) = 94*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 14 2013

Mathematica

Numerator[Convergents[Sqrt[552], 30]] (* or *) CoefficientList[Series[(1 + x) (23 + 24 x - x^2)/(1 - 94 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 14 2013 *)
LinearRecurrence[{0, 94, 0, -1}, {23, 47, 2185, 4417}, 20] (* Harvey P. Dale, Mar 13 2017 *)

Prog

(Magma) I:=[23, 47, 2185, 4417]; [n le 4 select I[n] else 94*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 14 2013

Crossrefs

Cf. A042057.

Sequence in context: A158238 A328799 A333115 * A087807 A044100 A044481

Adjacent sequences: A042053 A042054 A042055 * A042057 A042058 A042059

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved