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.

A041198 Numerators of continued fraction convergents to sqrt(110).

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%I A041198 #18 Jul 09 2025 00:25:19
%S A041198 10,21,430,881,18050,36981,757670,1552321,31804090,65160501,
%T A041198 1335014110,2735188721,56038788530,114812765781,2352294104150,
%U A041198 4819400974081,98740313585770,202300028145621,4144740876498190,8491781781142001,173980376499338210,356452534779818421
%N A041198 Numerators of continued fraction convergents to sqrt(110).
%H A041198 Vincenzo Librandi, <a href="/A041198/b041198.txt">Table of n, a(n) for n = 0..100</a>
%H A041198 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,42,0,-1).
%F A041198 G.f.: -(x+1)*(x^2-11*x-10) / (x^4-42*x^2+1). - _Colin Barker_, Nov 05 2013
%F A041198 a(0)=10, a(1)=21, a(2)=430, a(3)=881, a(n)=42*a(n-2)-a(n-4). - _Harvey P. Dale_, Mar 04 2015
%t A041198 Numerator[Convergents[Sqrt[110], 30]] (* _Vincenzo Librandi_, Oct 30 2013 *)
%t A041198 LinearRecurrence[{0,42,0,-1},{10,21,430,881},30] (* _Harvey P. Dale_, Mar 04 2015 *)
%Y A041198 Cf. A041199.
%K A041198 nonn,cofr,frac,easy
%O A041198 0,1
%A A041198 _N. J. A. Sloane_
%E A041198 More terms from _Colin Barker_, Nov 05 2013