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 A041166 #17 Jul 09 2025 00:22:23 %S A041166 9,10,19,29,135,839,3491,4330,7821,12151,226539,238690,465229,703919, %T A041166 3280905,20389349,84838301,105227650,190065951,295293601,5505350769, %U A041166 5800644370,11305995139,17106639509,79732553175,495501958559,2061740387411,2557242345970 %N A041166 Numerators of continued fraction convergents to sqrt(93). %H A041166 Vincenzo Librandi, <a href="/A041166/b041166.txt">Table of n, a(n) for n = 0..200</a> %H A041166 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,24302,0,0,0,0,0,0,0,0,0,-1). %F A041166 G.f.: -(x^19 -9*x^18 +10*x^17 -19*x^16 +29*x^15 -135*x^14 +839*x^13 -3491*x^12 +4330*x^11 -7821*x^10 -12151*x^9 -7821*x^8 -4330*x^7 -3491*x^6 -839*x^5 -135*x^4 -29*x^3 -19*x^2 -10*x -9) / (x^20 -24302*x^10 +1). - _Colin Barker_, Nov 10 2013 %t A041166 Numerator[Convergents[Sqrt[93], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *) %t A041166 LinearRecurrence[{0,0,0,0,0,0,0,0,0,24302,0,0,0,0,0,0,0,0,0,-1},{9,10,19,29,135,839,3491,4330,7821,12151,226539,238690,465229,703919,3280905,20389349,84838301,105227650,190065951,295293601},30] (* _Harvey P. Dale_, Apr 10 2023 *) %Y A041166 Cf. A010544, A041167. %K A041166 nonn,cofr,frac,easy %O A041166 0,1 %A A041166 _N. J. A. Sloane_ %E A041166 More terms from _Colin Barker_, Nov 10 2013