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 A004794 #15 Aug 28 2024 09:37:35 %S A004794 3,7,7,28,45,189,799,2091,2091,8856,14329,60697,257115,673135,673135, %T A004794 2851444,4613733,19544085,82790071,216747219,216747219,918155952, %U A004794 1485607537,6293134513,26658145587,69791931223,69791931223,295643364940 %N A004794 Least positive integer k such that the fractional part of k*sqrt(5) has its n initial partial quotients all equal to 1. %F A004794 a(n) = (Fib(12[ n/6 ] + S_(n mod 6))+1)/2 where S = (2, 5, 7, 7, 10, 11). - _David W. Wilson_, May 15 1997 %F A004794 Empirical g.f.: -x*(x^12 -x^10 +3*x^9 +4*x^7 -356*x^6 +144*x^5 +17*x^4 +21*x^3 +4*x +3) / ((x -1)*(x^2 -3*x +1)*(x^2 +3*x +1)*(x^4 -3*x^3 +8*x^2 -3*x +1)*(x^4 +3*x^3 +8*x^2 +3*x +1)). - _Colin Barker_, Jul 14 2013 %K A004794 nonn %O A004794 1,1 %A A004794 _Clark Kimberling_ %E A004794 More terms from _David W. Wilson_, May 15 1997