%I #24 Sep 02 2024 11:00:52

%S 24,1153,55368,2658817,127678584,6131230849,294426759336,

%T 14138615678977,678947979350232,32603641624490113,1565653745954875656,

%U 75183983447458521601,3610396859223963912504,173374233226197726321793

%N Numerators of continued fraction convergents to sqrt(577).

%H Vincenzo Librandi, <a href="/A042104/b042104.txt">Table of n, a(n) for n = 0..200</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (48, 1).

%F a(n) = 48*a(n-1)+a(n-2)for n>1, a(0)=24, a(1)=1153. G.f.: (24+x)/(1-48*x-x^2). [_Philippe Deléham_, Nov 23 2008]

%t Numerator[Convergents[Sqrt[577], 30]] (* _Vincenzo Librandi_, Nov 16 2013 *)

%t LinearRecurrence[{48,1},{24,1153},20] (* _Harvey P. Dale_, Sep 02 2024 *)

%Y Cf. A042105.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.