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 A041165 #17 Jul 09 2025 00:22:13 %S A041165 1,1,2,5,22,49,71,120,2231,2351,4582,11515,50642,112799,163441,276240, %T A041165 5135761,5412001,10547762,26507525,116577862,259663249,376241111, %U A041165 635904360,11822519591,12458423951,24280943542,61020311035,268362187682,597744686399 %N A041165 Denominators of continued fraction convergents to sqrt(92). %H A041165 Vincenzo Librandi, <a href="/A041165/b041165.txt">Table of n, a(n) for n = 0..200</a> %H A041165 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,2302,0,0,0,0,0,0,0,-1). %F A041165 G.f.: -(x^14 -x^13 +2*x^12 -5*x^11 +22*x^10 -49*x^9 +71*x^8 -120*x^7 -71*x^6 -49*x^5 -22*x^4 -5*x^3 -2*x^2 -x -1) / ((x^8 -48*x^4 +1)*(x^8 +48*x^4 +1)). - _Colin Barker_, Nov 14 2013 %F A041165 a(n) = 2302*a(n-8) - a(n-16). - _Vincenzo Librandi_, Dec 12 2013 %t A041165 Denominator[Convergents[Sqrt[92], 30]] (* _Vincenzo Librandi_, Dec 12 2013 *) %o A041165 (Magma) I:=[1, 1, 2, 5, 22, 49, 71, 120, 2231, 2351, 4582, 11515, 50642, 112799, 163441, 276240]; [n le 16 select I[n] else 2302*Self(n-8)-Self(n-16): n in [1..40]]; // _Vincenzo Librandi_, Dec 12 2013 %Y A041165 Cf. A041164, A010163, A020849, A010543. %K A041165 nonn,frac,easy %O A041165 0,3 %A A041165 _N. J. A. Sloane_ %E A041165 More terms from _Colin Barker_, Nov 14 2013