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 A041289 #13 Jul 09 2025 00:34:35 %S A041289 1,1,2,15,17,100,217,317,534,851,1385,3621,19490,23111,181267,204378, %T A041289 385645,9459858,9845503,19305361,144983030,164288391,966424985, %U A041289 2097138361,3063563346,5160701707,8224265053 %N A041289 Denominators of continued fraction convergents to sqrt(157). %H A041289 Vincenzo Librandi, <a href="/A041289/b041289.txt">Table of n, a(n) for n = 0..200</a> %H A041289 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9664236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1). %F A041289 a(n) = 9664236*a(n-17) + a(n-34) for n>33. [_Bruno Berselli_, Dec 14 2013] %t A041289 Denominator[Convergents[Sqrt[157], 30]] (* _Vincenzo Librandi_, Dec 14 2013 *) %Y A041289 Cf. A041288. %K A041289 nonn,frac,easy %O A041289 0,3 %A A041289 _N. J. A. Sloane_