A042122 - OEIS

%I #13 Jul 17 2023 23:38:56

%S 24,97,121,581,702,1283,3268,4551,12370,91141,103511,298163,699837,

%T 998000,7685837,16369674,24055511,64480696,88536207,153016903,

%U 700603819,853620722,4115086707,198377782658

%N Numerators of continued fraction convergents to sqrt(586).

%H Vincenzo Librandi, <a href="/A042122/b042122.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8230173414, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = 8230173414*a(n-23) + a(n-46) for n>45. [_Bruno Berselli_, Nov 17 2013]

%t Numerator[Convergents[Sqrt[586], 30]] (* _Vincenzo Librandi_, Nov 17 2013 *)

%Y Cf. A042123.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.