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 A041922 #18 Jul 09 2025 01:55:01 %S A041922 21,22,945,967,41559,42526,1827651,1870177,80375085,82245262, %T A041922 3534676089,3616921351,155445372831,159062294182,6836061728475, %U A041922 6995124022657,300631270680069,307626394702726,13220939848194561 %N A041922 Numerators of continued fraction convergents to sqrt(483). %H A041922 Vincenzo Librandi, <a href="/A041922/b041922.txt">Table of n, a(n) for n = 0..200</a> %H A041922 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,44,0,-1). %F A041922 G.f.: -(x^3-21*x^2-22*x-21)/(x^4-44*x^2+1). - _Vincenzo Librandi_, Nov 12 2013 %F A041922 a(n) = 44*a(n-2)-a(n-4). - _Vincenzo Librandi_, Nov 12 2013 %t A041922 Numerator[Convergents[Sqrt[483], 30]] (* or *) CoefficientList[Series[-(x^3 - 21 x^2 - 22 x - 21)/(x^4 - 44 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 12 2013 *) %t A041922 LinearRecurrence[{0,44,0,-1},{21,22,945,967},20] (* _Harvey P. Dale_, Sep 28 2023 *) %o A041922 (Magma) I:=[21, 22, 945, 967]; [n le 4 select I[n] else 44*Self(n-2)-Self(n-4): n in [1..25]]; // _Vincenzo Librandi_, Nov 12 2013 %Y A041922 Cf. A041923. %K A041922 nonn,cofr,frac,easy,less %O A041922 0,1 %A A041922 _N. J. A. Sloane_