cp's OEIS Frontend

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.

A041924 Numerators of continued fraction convergents to sqrt(485).

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%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