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 A041171 #21 Jul 09 2025 00:22:56
%S A041171 1,1,3,4,75,79,233,312,5849,6161,18171,24332,456147,480479,1417105,
%T A041171 1897584,35573617,37471201,110516019,147987220,2774285979,2922273199,
%U A041171 8618832377,11541105576,216358732745,227899838321,672158409387,900058247708,16873206868131,17773265115839
%N A041171 Denominators of continued fraction convergents to sqrt(95).
%H A041171 Vincenzo Librandi, <a href="/A041171/b041171.txt">Table of n, a(n) for n = 0..200</a>
%H A041171 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,78,0,0,0,-1).
%F A041171 G.f.: (1 +x +3*x^2 +4*x^3 -3*x^4 +x^5 -x^6)/(1 -78*x^4 +x^8). - _Vincenzo Librandi_, Dec 12 2013
%F A041171 a(n) = 78*a(n-4) - a(n-8). - _Vincenzo Librandi_, Dec 12 2013
%t A041171 Denominator[Convergents[Sqrt[95], 30]] (* or *) CoefficientList[Series[(1 + x + 3 x^2 + 4 x^3 - 3 x^4 + x^5 - x^6)/(1 - 78 x^4 + x^8), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 12 2013 *)
%t A041171 LinearRecurrence[{0,0,0,78,0,0,0,-1},{1,1,3,4,75,79,233,312},30] (* _Harvey P. Dale_, Mar 12 2016 *)
%o A041171 (Magma) I:=[1, 1, 3, 4, 75, 79, 233, 312]; [n le 8 select I[n] else 78*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 12 2013
%Y A041171 Cf. A041170.
%K A041171 nonn,frac,easy
%O A041171 0,3
%A A041171 _N. J. A. Sloane_
%E A041171 More terms from _Vincenzo Librandi_, Dec 12 2013