A077125 Decimal expansion of the constant c such that A007018(n)=floor(c^(2^n)).
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, 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, 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
Offset: 1
Examples
1.5979102180318731783380....
Links
- Steven Finch, Exercises in Iterational Asymptotics, arXiv:2411.16062 [math.NT], 2024. See p. 9.
- Nicolas Gast and Bruno Gaujal, Infinite labeled trees: from rational to Sturmian trees, Theor. Comput. Sci. 411 (2010) 1146-1166, Section 5.2.
Formula
Equals lim_{n -> oo} A007018(n)^(1/2^n).
Equals E^2 where E is the Vardi constant arising in the Sylvester sequence (A076393). - Gerald McGarvey, Dec 08 2007