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 A041241 #28 Jul 09 2025 00:29:33 %S A041241 1,2,45,92,2069,4230,95129,194488,4373865,8942218,201102661,411147540, %T A041241 9246348541,18903844622,425130930225,869165705072,19546776441809, %U A041241 39962718588690,898726585392989,1837415889374668,41321876151635685,84481168192646038 %N A041241 Denominators of continued fraction convergents to sqrt(132). %H A041241 Vincenzo Librandi, <a href="/A041241/b041241.txt">Table of n, a(n) for n = 0..200</a> %H A041241 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,46,0,-1). %F A041241 G.f.: -(x^2-2*x-1) / (x^4-46*x^2+1). - _Colin Barker_, Nov 14 2013 %F A041241 a(n) = 46*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 13 2013 %F A041241 a(2*n) = A042011(2*n) = numerator of continued fraction [4,11,4,11,...,4,11] with n pairs of 4,11. - _Greg Dresden_, Aug 10 2021 %t A041241 Denominator[Convergents[Sqrt[132], 30]] (* _Vincenzo Librandi_, Dec 13 2013 *) %t A041241 LinearRecurrence[{0,46,0,-1},{1,2,45,92},30] (* _Harvey P. Dale_, Jun 15 2022 *) %o A041241 (Magma) I:=[1, 2, 45, 92]; [n le 4 select I[n] else 46*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 13 2013 %Y A041241 Cf. A041240, A040120, A042011. %K A041241 nonn,frac,easy %O A041241 0,2 %A A041241 _N. J. A. Sloane_ %E A041241 More terms from _Colin Barker_, Nov 14 2013