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Numerators of continued fraction convergents to sqrt(88).
2

%I #15 Jun 13 2015 00:49:22

%S 9,19,28,47,75,197,3621,7439,11060,18499,29559,77617,1426665,2930947,

%T 4357612,7288559,11646171,30580901,562102389,1154785679,1716888068,

%U 2871673747,4588561815,12048797377,221466914601

%N Numerators of continued fraction convergents to sqrt(88).

%H Vincenzo Librandi, <a href="/A041156/b041156.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,394,0,0,0,0,0,-1).

%F 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]

%t Numerator[Convergents[Sqrt[88], 30]] (* _Vincenzo Librandi_, Oct 26 2013 *)

%Y Cf. A010539, A041157.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.