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 A041097 #18 Jul 09 2025 00:16:04 %S A041097 1,2,29,60,869,1798,26041,53880,780361,1614602,23384789,48384180, %T A041097 700763309,1449910798,20999514481,43448939760,629284671121, %U A041097 1302018282002,18857540619149,39017099520300,565096933903349,1169210967326998,16934050476481321,35037311920289640 %N A041097 Denominators of continued fraction convergents to sqrt(56). %H A041097 Vincenzo Librandi, <a href="/A041097/b041097.txt">Table of n, a(n) for n = 0..200</a> %H A041097 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,30,0,-1). %F A041097 G.f.: -(x^2-2*x-1) / (x^4-30*x^2+1). - _Colin Barker_, Nov 12 2013 %F A041097 a(n) = 30*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 11 2013 %t A041097 Denominator[Convergents[Sqrt[56], 30]] (* _Vincenzo Librandi_, Dec 11 2013 *) %t A041097 LinearRecurrence[{0,30,0,-1},{1,2,29,60},30] (* _Harvey P. Dale_, Dec 09 2014 *) %o A041097 (Magma) I:=[1, 2, 29, 60]; [n le 4 select I[n] else 30*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 11 2013 %Y A041097 Cf. A041096, A040048, A020813, A010509. %K A041097 nonn,cofr,easy,frac %O A041097 0,2 %A A041097 _N. J. A. Sloane_ %E A041097 More terms from _Colin Barker_, Nov 12 2013