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 A244088 #6 Jun 20 2014 03:40:05 %S A244088 1,0,5,4,7,0,0,1,9,6,2,2,5,2,2,9,1,2,2,0,1,8,3,4,1,7,3,3,4,5,6,9,9,9, %T A244088 3,7,6,3,4,6,3,5,3,3,1,9,0,5,3,1,1,4,8,0,1,9,5,5,4,5,4,3,1,6,3,4,2,6, %U A244088 4,1,0,6,8,9,6,8,1,5,5,4,5,3,1,0,8,4,0,2,9,3,5,6,9,5,1,5,2,4,1,8 %N A244088 Decimal expansion of 1/2+2/sqrt(13), 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 A244088 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.10.2 Rook paths on a chessboard, p. 334. %F A244088 Asymptotic number of paths = p(k) ~ (1/2+2/sqrt(13)) * sqrt((3+sqrt(13))/2)^(2k), where k = n-1. %e A244088 1.054700196225229122018341733456999376346353319... %t A244088 RealDigits[1/2 + 2/Sqrt[13], 10, 100] // First %Y A244088 Cf. A006192, A007764, A007786, A007787, A244089. %K A244088 nonn,cons,walk %O A244088 1,3 %A A244088 _Jean-François Alcover_, Jun 20 2014