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 A041136 #17 Jul 09 2025 00:19:32 %S A041136 8,9,35,79,272,351,5888,6239,24605,55449,190952,246401,4133368, %T A041136 4379769,17272675,38925119,134048032,172973151,2901618448,3074591599, %U A041136 12125393245,27325378089,94101527512 %N A041136 Numerators of continued fraction convergents to sqrt(77). %H A041136 Vincenzo Librandi, <a href="/A041136/b041136.txt">Table of n, a(n) for n = 0..200</a> %H A041136 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,702,0,0,0,0,0,-1). %F A041136 a(n) = 702*a(n-6)-a(n-12). G.f.: -(x^11-8*x^10+9*x^9-35*x^8+79*x^7-272*x^6-351*x^5-272*x^4-79*x^3-35*x^2-9*x-8)/((x^4-9*x^2+1)*(x^8+9*x^6+80*x^4+9*x^2+1)). [_Colin Barker_, Jul 18 2012] %t A041136 Numerator[Convergents[Sqrt[77], 30]] (* _Vincenzo Librandi_, Oct 26 2013 *) %Y A041136 Cf. A010529, A041137. %K A041136 nonn,cofr,frac,easy %O A041136 0,1 %A A041136 _N. J. A. Sloane_