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 A244089 #6 Jun 20 2014 03:41:21 %S A244089 1,8,1,7,3,5,4,0,2,1,0,2,3,9,7,0,6,2,0,0,7,5,1,9,4,4,8,6,0,3,5,8,2,1, %T A244089 9,2,6,4,6,9,4,0,3,6,4,3,1,2,7,1,3,6,1,1,2,0,6,3,3,0,7,7,0,5,8,2,7,9, %U A244089 8,9,9,4,3,8,6,8,3,6,5,6,9,3,6,7,8,1,9,2,0,1,7,8,1,0,0,6,2,6,7,8 %N A244089 Decimal expansion of sqrt((3+sqrt(13))/2), a constant related to the asymptotic evaluation of the number of self-avoiding rook paths joining opposite corners on a 3 X n chessboard. %D A244089 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.10.2 Rook paths on a chessboard, p. 334. %F A244089 Asymptotic number of paths = p(k) ~ (1/2+2/sqrt(13)) * sqrt((3+sqrt(13))/2)^(2k), where k = n-1. %e A244089 1.8173540210239706200751944860358219264694... %t A244089 RealDigits[Sqrt[(3 + Sqrt[13])/2], 10, 100] // First %Y A244089 Cf. A006192, A007764, A007786, A007787, A244088. %K A244089 nonn,cons,walk %O A244089 1,2 %A A244089 _Jean-François Alcover_, Jun 20 2014