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.
%I A041076 #20 Jul 09 2025 00:14:08
%S A041076 6,7,20,47,114,161,2046,2207,6460,15127,36714,51841,658806,710647,
%T A041076 2080100,4870847,11821794,16692641,212133486,228826127,669785740,
%U A041076 1568397607,3806580954,5374978561,68306323686
%N A041076 Numerators of continued fraction convergents to sqrt(45).
%H A041076 Vincenzo Librandi, <a href="/A041076/b041076.txt">Table of n, a(n) for n = 0..200</a>
%H A041076 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,322,0,0,0,0,0,-1).
%F A041076 a(n) = 322*a(n-6)-a(n-12). G.f.: -(x^11-6*x^10+7*x^9-20*x^8+47*x^7-114*x^6-161*x^5-114*x^4-47*x^3-20*x^2-7*x-6)/((x^2-3*x+1)*(x^2+3*x+1)*(x^4-3*x^3+8*x^2-3*x+1)*(x^4+3*x^3+8*x^2+3*x+1)). [_Colin Barker_, Jul 18 2012]
%t A041076 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[45],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 22 2011*)
%t A041076 Numerator[Convergents[Sqrt[45], 30]] (* _Vincenzo Librandi_, Oct 25 2013 *)
%Y A041076 Cf. A010499, A041077.
%K A041076 nonn,cofr,frac,easy
%O A041076 0,1
%A A041076 _N. J. A. Sloane_