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Decimal expansion of the constant c such that A007018(n)=floor(c^(2^n)).
3

%I #14 Sep 23 2023 03:10:47

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

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

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

%N Decimal expansion of the constant c such that A007018(n)=floor(c^(2^n)).

%H N. Gast and B. Gaujal, <a href="https://doi.org/10.1016/j.tcs.2009.12.009">Infinite labeled trees: from rational to Sturmian trees</a>, Theor. Comput. Sci. 411 (2010) 1146-1166, Section 5.2.

%F Equals lim_{n -> oo} A007018(n)^(1/2^n).

%F Equals E^2 where E is the Vardi constant arising in the Sylvester sequence (A076393). - _Gerald McGarvey_, Dec 08 2007

%e 1.5979102180318731783380....

%Y Cf. A007018, A076393.

%K cons,nonn

%O 1,2

%A _Benoit Cloitre_, Nov 29 2002