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 A041135 #24 Jul 09 2025 00:19:25 %S A041135 1,1,3,4,7,39,163,854,1017,1871,4759,6630,110839,117469,345777,463246, %T A041135 809023,4508361,18842467,98720696,117563163,216283859,550130881, %U A041135 766414740,12812766721,13579181461,39971129643,53550311104,93521440747,521157514839,2178151500103 %N A041135 Denominators of continued fraction convergents to sqrt(76). %H A041135 Vincenzo Librandi, <a href="/A041135/b041135.txt">Table of n, a(n) for n = 0..200</a> %H A041135 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,115598,0,0,0,0,0,0,0,0,0,0,0,-1). %F A041135 a(n) = 115598*a(n-12)-a(n-24). G.f.: -(x^22 -x^21 +3*x^20 -4*x^19 +7*x^18 -39*x^17 +163*x^16 -854*x^15 +1017*x^14 -1871*x^13 +4759*x^12 -6630*x^11 -4759*x^10 -1871*x^9 -1017*x^8 -854*x^7 -163*x^6 -39*x^5 -7*x^4 -4*x^3 -3*x^2 -x -1)/((x^12-340*x^6+1)*(x^12+340*x^6+1)). [_Colin Barker_, Jul 19 2012] %t A041135 Denominator/@Convergents[Sqrt[76], 50] (* _Vladimir Joseph Stephan Orlovsky_, Jul 05 2011 *) %Y A041135 Cf. A010528, A041134. %K A041135 nonn,cofr,frac,easy %O A041135 0,3 %A A041135 _N. J. A. Sloane_ %E A041135 Formula corrected by _Colin Barker_, Jul 24 2012