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