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.

A041420 Numerators of continued fraction convergents to sqrt(226).

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%I A041420 #26 Jul 09 2025 00:48:10
%S A041420 15,451,13545,406801,12217575,366934051,11020239105,330974107201,
%T A041420 9940243455135,298538277761251,8966088576292665,269281195566541201,
%U A041420 8087401955572528695,242891339862742402051,7294827597837844590225,219087719274998080108801
%N A041420 Numerators of continued fraction convergents to sqrt(226).
%H A041420 Vincenzo Librandi, <a href="/A041420/b041420.txt">Table of n, a(n) for n = 0..200</a>
%H A041420 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H A041420 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (30,1).
%F A041420 a(n) = 30*a(n-1)+a(n-2), n>1 ; a(0)=15, a(1)=451 . G.f.: (15+x)/(1-30*x-x^2). - _Philippe Deléham_, Nov 22 2008
%t A041420 Numerator[Convergents[Sqrt[226], 20]] (* _Harvey P. Dale_, Feb 02 2012 *)
%Y A041420 Cf. A041421.
%K A041420 nonn,cofr,frac,easy
%O A041420 0,1
%A A041420 _N. J. A. Sloane_
%E A041420 Additional term from _Colin Barker_, Nov 07 2013