This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A041082 #19 Jul 09 2025 00:14:46
%S A041082 6,7,90,97,1254,1351,17466,18817,243270,262087,3388314,3650401,
%T A041082 47193126,50843527,657315450,708158977,9155223174,9863382151,
%U A041082 127515808986,137379191137,1776066102630,1913445293767
%N A041082 Numerators of continued fraction convergents to sqrt(48).
%H A041082 Vincenzo Librandi, <a href="/A041082/b041082.txt">Table of n, a(n) for n = 0..200</a>
%H A041082 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,14,0,-1).
%F A041082 a(n) = 14*a(n-2)-a(n-4). G.f.: (6+7*x+6*x^2-x^3)/((1-4*x+x^2)*(1+4*x+x^2)). [_Colin Barker_, Jul 15 2012]
%t A041082 Numerator[Convergents[Sqrt[48], 30]] (* _Vincenzo Librandi_, Oct 25 2013 *)
%t A041082 LinearRecurrence[{0,14,0,-1},{6,7,90,97},30] (* _Harvey P. Dale_, Aug 30 2020 *)
%Y A041082 Cf. A010502, A041083.
%K A041082 nonn,cofr,frac,easy
%O A041082 0,1
%A A041082 _N. J. A. Sloane_