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.

A041218 Numerators of continued fraction convergents to sqrt(120).

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%I A041218 #18 Jul 09 2025 00:27:21
%S A041218 10,11,230,241,5050,5291,110870,116161,2434090,2550251,53439110,
%T A041218 55989361,1173226330,1229215691,25757540150,26986755841,565492656970,
%U A041218 592479412811,12415080913190,13007560326001
%N A041218 Numerators of continued fraction convergents to sqrt(120).
%H A041218 Vincenzo Librandi, <a href="/A041218/b041218.txt">Table of n, a(n) for n = 0..200</a>
%H A041218 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,22,0,-1).
%F A041218 a(n) = 22*a(n-2)-a(n-4). G.f.: (10+11*x+10*x^2-x^3)/(1-22*x^2+x^4). [_Colin Barker_, Jul 15 2012]
%t A041218 Numerator[Convergents[Sqrt[120], 30]] (* _Vincenzo Librandi_, Oct 26 2013 *)
%t A041218 LinearRecurrence[{0,22,0,-1},{10,11,230,241},20] (* _Harvey P. Dale_, Jun 08 2018 *)
%Y A041218 Cf. A041219.
%K A041218 nonn,cofr,frac,easy
%O A041218 0,1
%A A041218 _N. J. A. Sloane_