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.

A042012 Numerators of continued fraction convergents to sqrt(530).

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%I A042012 #28 Dec 26 2023 06:37:22
%S A042012 23,1059,48737,2242961,103224943,4750590339,218630380537,
%T A042012 10061748095041,463059042752423,21310777714706499,980758833919251377,
%U A042012 45136217138000269841,2077246747181931664063,95598486587506856816739,4399607629772497345234057
%N A042012 Numerators of continued fraction convergents to sqrt(530).
%H A042012 Vincenzo Librandi, <a href="/A042012/b042012.txt">Table of n, a(n) for n = 0..200</a>
%H A042012 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H A042012 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (46,1).
%F A042012 From _Philippe Deléham_, Nov 23 2008: (Start)
%F A042012 a(n) = 46*a(n-1) + a(n-2), n > 1; a(0)=23, a(1)=1059.
%F A042012 G.f.: (23+x)/(1-46*x-x^2). (End)
%t A042012 Numerator[Convergents[Sqrt[530], 30]] (* _Vincenzo Librandi_, Nov 13 2013 *)
%t A042012 LinearRecurrence[{46,1},{23,1059},30] (* _Harvey P. Dale_, May 05 2016 *)
%Y A042012 Cf. A042013, A040506.
%K A042012 nonn,cofr,frac,easy,less
%O A042012 0,1
%A A042012 _N. J. A. Sloane_
%E A042012 Additional term from _Colin Barker_, Nov 29 2013