%I #19 Apr 16 2023 21:12:42

%S 29,30,59,443,502,6969,7471,59266,66737,126003,7374911,7500914,

%T 14875825,111631689,126507514,1756229371,1882736885,14935387566,

%U 16818124451,31753512017,1858521821437,1890275333454,3748797154891,28131855417691,31880652572582

%N Numerators of continued fraction convergents to sqrt(872).

%H Vincenzo Librandi, <a href="/A042684/b042684.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 252006, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -29*x^18 +30*x^17 -59*x^16 +443*x^15 -502*x^14 +6969*x^13 -7471*x^12 +59266*x^11 -66737*x^10 -126003*x^9 -66737*x^8 -59266*x^7 -7471*x^6 -6969*x^5 -502*x^4 -443*x^3 -59*x^2 -30*x -29) / ((x^10 -502*x^5 -1)*(x^10 +502*x^5 -1)). - _Colin Barker_, Dec 21 2013

%F a(n) = 252006*a(n-10) - a(n-20). - _Wesley Ivan Hurt_, Apr 16 2023

%t Numerator/@Convergents[Sqrt[872], 30] (* _Harvey P. Dale_, May 02 2011 *)

%Y Cf. A042685, A040842.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 21 2013