%I #17 Jul 09 2025 03:06:59

%S 1,1,28,29,1652,1681,47039,48720,2775359,2824079,79025492,81849571,

%T 4662601468,4744451039,132762779521,137507230560,7833167690881,

%U 7970674921441,223041390569788,231012065491229,13159717058078612,13390729123569841,374709403394464319

%N Denominators of continued fraction convergents to sqrt(839).

%H Vincenzo Librandi, <a href="/A042621/b042621.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 (0,0,0,1680,0,0,0,-1).

%F G.f.: -(x^2-x-1)*(x^4+29*x^2+1) / (x^8-1680*x^4+1). - _Colin Barker_, Dec 20 2013

%t Denominator[Convergents[Sqrt[839], 30]] (* _Vincenzo Librandi_, Jan 25 2014 *)

%t LinearRecurrence[{0,0,0,1680,0,0,0,-1},{1,1,28,29,1652,1681,47039,48720},30] (* _Harvey P. Dale_, Jun 21 2024 *)

%Y Cf. A042620, A040810.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 20 2013