A216186 - OEIS

%I #36 Jun 19 2024 08:09:57

%S 0,7,2,9,5,0,2,3,3,4,0,9,3,7,5,7,0,8,1,1,1,0,6,3,0,9,9,4,7,4,7,4,1,8,

%T 7,3,7,9,5,5,2,5,4,3,8,3,3,5,5,3,4,9,8,2,9,2,0,6,1,0,6,7,1,1,3,5,4,7,

%U 8,5,9,0,9,4,4,1,2,4,8,5,3,4,2,0,7,6,6,0,4,8,7,1,6,7,3,2,4,8,0,6,9,3,4,6,6

%N Decimal expansion of the topological entropy of a two step random Fibonacci substitution.

%C See Theorem 2 of the Nilsson reference.

%H Johan Nilsson, <a href="http://arxiv.org/abs/1303.2526">On the Entropy of a Two Step Random Fibonacci Substitution</a>, arXiv:1303.2526 [math.CO], 2013.

%F Equals log(2)/(1+sqrt(5)/2)^3.

%e 0.0729502334093757...

%t First[RealDigits[Log[2]/(1 + Sqrt[5]/2)^3, 10, 100, -1]] (* _Paolo Xausa_, Jun 18 2024 *)

%Y Cf. A002162 (log(2)).

%K nonn,easy,cons

%O 0,2

%A _Jonathan Vos Post_, Mar 11 2013