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 A041924 #34 Jul 09 2025 01:55:07 %S A041924 22,969,42658,1877921,82671182,3639409929,160216708058,7053174564481, %T A041924 310499897545222,13669048666554249,601748641225932178, %U A041924 26490609262607570081,1166188556195959015742,51338787081884804262729,2260072820159127346575818 %N A041924 Numerators of continued fraction convergents to sqrt(485). %H A041924 Vincenzo Librandi, <a href="/A041924/b041924.txt">Table of n, a(n) for n = 0..200</a> %H A041924 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a> %H A041924 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (44, 1). %F A041924 a(n) = 44*a(n-1)+a(n-2) for n>1, a(0)=22, a(1)=969. G.f.: (22+x)/(1-44*x-x^2). [_Philippe Deléham_, Nov 23 2008] %t A041924 Numerator[Convergents[Sqrt[485], 30]] (* _Vincenzo Librandi_, Nov 12 2013 *) %t A041924 LinearRecurrence[{44,1},{22,969},20] (* _Harvey P. Dale_, Dec 24 2023 *) %Y A041924 Cf. A041925, A040462. %K A041924 nonn,cofr,frac,easy,less %O A041924 0,1 %A A041924 _N. J. A. Sloane_ %E A041924 More terms from _Colin Barker_, Nov 27 2013