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 A041048 #37 Jul 09 2025 00:11:48
%S A041048 5,11,115,241,2525,5291,55435,116161,1217045,2550251,26719555,
%T A041048 55989361,586613165,1229215691,12878770075,26986755841,282746328485,
%U A041048 592479412811,6207540456595,13007560326001,136283143716605,285573847759211,2992021621308715,6269617090376641
%N A041048 Numerators of continued fraction convergents to sqrt(30).
%H A041048 Vincenzo Librandi, <a href="/A041048/b041048.txt">Table of n, a(n) for n = 0..200</a>
%H A041048 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,22,0,-1).
%F A041048 G.f.: (5+11*x+5*x^2-x^3)/(1-22*x^2+x^4). - _Colin Barker_, Jan 02 2012
%F A041048 a(n) = 22*a(n-2) - a(n-4). - _Wesley Ivan Hurt_, Jun 16 2023
%t A041048 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[30], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011 *)
%t A041048 Numerator[Convergents[Sqrt[30], 30]] (* _Harvey P. Dale_, May 06 2012 *)
%Y A041048 Cf. A010485, A041049.
%K A041048 nonn,cofr,frac,easy
%O A041048 0,1
%A A041048 _N. J. A. Sloane_
%E A041048 More terms from _Harvey P. Dale_, Apr 04 2013