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 A041537 #24 Jul 09 2025 00:59:33
%S A041537 1,1,8,17,127,144,4735,4879,38888,82655,617473,700128,23021569,
%T A041537 23721697,189073448,401868593,3002153599,3404022192,111930863743,
%U A041537 115334885935,919275065288,1953885016511,14596470180865,16550355197376,544207836496897,560758191694273
%N A041537 Denominators of continued fraction convergents to sqrt(285).
%H A041537 Vincenzo Librandi, <a href="/A041537/b041537.txt">Table of n, a(n) for n = 0..200</a>
%H A041537 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 4862, 0, 0, 0, 0, 0, -1).
%F A041537 G.f.: -(x^10 -x^9 +8*x^8 -17*x^7 +127*x^6 -144*x^5 -127*x^4 -17*x^3 -8*x^2 -x -1) / ((x^4 -17*x^2 +1)*(x^8 +17*x^6 +288*x^4 +17*x^2 +1)). - _Colin Barker_, Nov 18 2013
%F A041537 a(n) = 4862*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Dec 19 2013
%t A041537 Denominator[Convergents[Sqrt[285], 30]] (* _Harvey P. Dale_, Nov 08 2013 *)
%t A041537 CoefficientList[Series[-(x^10 - x^9 + 8 x^8 - 17 x^7 + 127 x^6 - 144 x^5 - 127 x^4 - 17 x^3 - 8 x^2 - x - 1)/((x^4 - 17 x^2 + 1) (x^8 + 17 x^6 + 288 x^4 + 17 x^2 + 1)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 19 2013 *)
%o A041537 (Magma) I:=[1,1,8,17,127,144,4735,4879,38888,82655, 617473,700128]; [n le 12 select I[n] else 4862*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Dec 19 2013
%Y A041537 Cf. A041536, A176104, A040268.
%K A041537 nonn,frac,easy
%O A041537 0,3
%A A041537 _N. J. A. Sloane_
%E A041537 More terms from _Colin Barker_, Nov 18 2013