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 A041247 #20 Jul 09 2025 00:30:18 %S A041247 1,1,2,3,5,8,13,21,475,496,971,1467,2438,3905,6343,10248,231799, %T A041247 242047,473846,715893,1189739,1905632,3095371,5001003,113117437, %U A041247 118118440,231235877,349354317,580590194,929944511,1510534705,2440479216,55201077457,57641556673 %N A041247 Denominators of continued fraction convergents to sqrt(135). %H A041247 Vincenzo Librandi, <a href="/A041247/b041247.txt">Table of n, a(n) for n = 0..200</a> %H A041247 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,488,0,0,0,0,0,0,0,-1). %F A041247 G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+7*x^4+1) / (x^16-488*x^8+1). - _Colin Barker_, Nov 14 2013 %F A041247 a(n) = 488*a(n-8) - a(n-16). - _Vincenzo Librandi_, Dec 13 2013 %t A041247 Denominator[Convergents[Sqrt[135], 30]] (* _Vincenzo Librandi_, Dec 13 2013 *) %t A041247 LinearRecurrence[{0,0,0,0,0,0,0,488,0,0,0,0,0,0,0,-1},{1,1,2,3,5,8,13,21,475,496,971,1467,2438,3905,6343,10248},40] (* _Harvey P. Dale_, Aug 01 2019 *) %o A041247 (Magma) I:=[1,1,2,3,5,8,13,21,475,496,971,1467,2438,3905,6343,10248]; [n le 16 select I[n] else 488*Self(n-8)-Self(n-16): n in [1..40]]; // _Vincenzo Librandi_, Dec 13 2013 %Y A041247 Cf. A041246, A010194. %K A041247 nonn,frac,easy %O A041247 0,3 %A A041247 _N. J. A. Sloane_ %E A041247 More terms from _Colin Barker_, Nov 14 2013