A041156 Numerators of continued fraction convergents to sqrt(88).

9, 19, 28, 47, 75, 197, 3621, 7439, 11060, 18499, 29559, 77617, 1426665, 2930947, 4357612, 7288559, 11646171, 30580901, 562102389, 1154785679, 1716888068, 2871673747, 4588561815, 12048797377, 221466914601

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,394,0,0,0,0,0,-1).

Formula

a(n) = 394*a(n-6)-a(n-12). G.f.: -(x^11-9*x^10+19*x^9-28*x^8+47*x^7-75*x^6-197*x^5-75*x^4-47*x^3-28*x^2-19*x-9)/(x^12-394*x^6+1). [Colin Barker, Jul 18 2012]

Mathematica

Numerator[Convergents[Sqrt[88], 30]] (* Vincenzo Librandi, Oct 26 2013 *)

Crossrefs

Cf. A010539, A041157.

Sequence in context: A145906 A090065 A098791 * A041369 A042523 A347421

Adjacent sequences: A041153 A041154 A041155 * A041157 A041158 A041159

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved