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 A041075 #23 Jul 09 2025 00:14:02
%S A041075 1,1,2,3,8,11,19,30,379,409,788,1197,3182,4379,7561,11940,150841,
%T A041075 162781,313622,476403,1266428,1742831,3009259,4752090,60034339,
%U A041075 64786429,124820768,189607197,504035162,693642359,1197677521,1891319880,23893516081,25784835961
%N A041075 Denominators of continued fraction convergents to sqrt(44).
%H A041075 Vincenzo Librandi, <a href="/A041075/b041075.txt">Table of n, a(n) for n = 0..200</a>
%H A041075 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,398,0,0,0,0,0,0,0,-1).
%F A041075 G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+10*x^4+1) / ((x^8-20*x^4+1)*(x^8+20*x^4+1)). - _Colin Barker_, Nov 12 2013
%F A041075 a(n) = 398*a(n-8) - a(n-16). - _Vincenzo Librandi_, Dec 11 2013
%t A041075 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[44],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 22 2011 *)
%t A041075 Denominator[Convergents[Sqrt[44], 30]] (* _Vincenzo Librandi_, Dec 11 2013 *)
%t A041075 LinearRecurrence[{0,0,0,0,0,0,0,398,0,0,0,0,0,0,0,-1},{1,1,2,3,8,11,19,30,379,409,788,1197,3182,4379,7561,11940},40] (* _Harvey P. Dale_, Feb 12 2025 *)
%o A041075 (Magma) I:=[1, 1, 2, 3, 8, 11, 19, 30, 379, 409, 788, 1197, 3182, 4379, 7561, 11940]; [n le 16 select I[n] else 398*Self(n-8)-Self(n-16): n in [1..40]]; // _Vincenzo Librandi_, Dec 11 2013
%Y A041075 Cf. A010498, A041074.
%K A041075 nonn,cofr,frac,easy
%O A041075 0,3
%A A041075 _N. J. A. Sloane_
%E A041075 More terms from _Colin Barker_, Nov 12 2013