%I #14 Jul 09 2025 02:41:04

%S 1,1,3,7,10,47,292,631,4078,16943,21021,58985,138991,197976,10433743,

%T 10631719,31697181,74026081,105723262,496919129,3087238036,6671395201,

%U 43115609242,179133832169,222249441411,623632714991,1469514871393,2093147586384,110313189363361

%N Denominators of continued fraction convergents to sqrt(713).

%H Vincenzo Librandi, <a href="/A042373/b042373.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_28">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10572734, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 10572734*a(n-14) - a(n-28). - _Wesley Ivan Hurt_, Sep 07 2022

%t Denominator[Convergents[Sqrt[713], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042372.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Vincenzo Librandi_, Jan 20 2014