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 A041188 #19 Jul 09 2025 00:24:20
%S A041188 10,41,830,3361,68050,275561,5579270,22592641,457432090,1852321001,
%T A041188 37503852110,151867729441,3074858440930,12451301493161,
%U A041188 252100888304150,1020854854709761,20669197982499370,83697646784707241
%N A041188 Numerators of continued fraction convergents to sqrt(105).
%H A041188 Vincenzo Librandi and Bruno Berselli, <a href="/A041188/b041188.txt">Table of n, a(n) for n = 0..100</a> (first 91 terms from Vincenzo Librandi).
%H A041188 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,82,0,-1).
%F A041188 G.f.: (10 + 41*x + 10*x^2 - x^3) / (1 - 82*x^2 + x^4). [_Bruno Berselli_, Oct 30 2013]
%F A041188 a(n) = 82*a(n-2) - a(n-4). [_Bruno Berselli_, Oct 30 2013]
%t A041188 Numerator[Convergents[Sqrt[105], 30]] (* _Vincenzo Librandi_, Oct 30 2013 *)
%t A041188 RecurrenceTable[{a[0] == 10, a[1] == 41, a[2] == 830, a[3] == 3361, a[n] == 82 a[n - 2] - a[n - 4]}, a, {n, 0, 20}] (* _Bruno Berselli_, Oct 30 2013 *)
%Y A041188 Cf. A041189.
%K A041188 nonn,cofr,frac,easy
%O A041188 0,1
%A A041188 _N. J. A. Sloane_