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 A041269 #19 Jul 09 2025 00:32:30 %S A041269 1,8,193,1552,37441,301080,7263361,58407968,1409054593,11330844712, %T A041269 273349327681,2198125466160,53028360515521,426425009590328, %U A041269 10287228590683393,82724253735057472,1995669318232062721,16048078799591559240,387149560508429484481 %N A041269 Denominators of continued fraction convergents to sqrt(147). %H A041269 Vincenzo Librandi, <a href="/A041269/b041269.txt">Table of n, a(n) for n = 0..200</a> %H A041269 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 194, 0, -1). %F A041269 G.f.: -(x^2-8*x-1) / ((x^2-14*x+1)*(x^2+14*x+1)). - _Colin Barker_, Nov 14 2013 %F A041269 a(n) = 194*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 14 2013 %t A041269 Denominator[Convergents[Sqrt[147], 30]] (* _Vincenzo Librandi_, Dec 14 2013 *) %o A041269 (Magma) I:=[1,8,193,1552]; [n le 4 select I[n] else 194*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 14 2013 %Y A041269 Cf. A041268, A176910, A040132. %K A041269 nonn,frac,easy %O A041269 0,2 %A A041269 _N. J. A. Sloane_ %E A041269 More terms from _Colin Barker_, Nov 14 2013