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 A041107 #16 Jul 09 2025 00:16:56 %S A041107 1,1,5,16,21,58,137,195,722,3083,3805,56353,60158,296985,951113, %T A041107 1248098,3447309,8142716,11590025,42912791,183241189,226153980, %U A041107 3349396909,3575550889,17651600465,56530352284,74181952749,204894257782,483970468313,688864726095 %N A041107 Denominators of continued fraction convergents to sqrt(61). %H A041107 Vincenzo Librandi, <a href="/A041107/b041107.txt">Table of n, a(n) for n = 0..200</a> %H A041107 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,59436,0,0,0,0,0,0,0,0,0,0,1). %F A041107 G.f.: -(x^20 -x^19 +5*x^18 -16*x^17 +21*x^16 -58*x^15 +137*x^14 -195*x^13 +722*x^12 -3083*x^11 +3805*x^10 +3083*x^9 +722*x^8 +195*x^7 +137*x^6 +58*x^5 +21*x^4 +16*x^3 +5*x^2 +x +1) / (x^22 +59436*x^11 -1). - _Colin Barker_, Nov 12 2013 %F A041107 a(n) = 59436*a(n-11) + a(n-22). - _Vincenzo Librandi_, Dec 11 2013 %t A041107 Denominator[Convergents[Sqrt[61], 30]] (* _Vincenzo Librandi_, Dec 11 2013 *) %o A041107 (Magma) I:=[1, 1, 5, 16, 21, 58, 137, 195, 722, 3083, 3805, 56353, 60158, 296985, 951113, 1248098, 3447309, 8142716, 11590025, 42912791, 183241189, 226153980]; [n le 22 select I[n] else 59436*Self(n-11)+Self(n-22): n in [1..40]]; // _Vincenzo Librandi_, Dec 11 2013 %Y A041107 Cf. A041106, A010145, A020818, A010514. %K A041107 nonn,cofr,easy,frac %O A041107 0,3 %A A041107 _N. J. A. Sloane_ %E A041107 More terms from _Colin Barker_, Nov 12 2013