A273155 Decimal expansion of the limit A006156(n)^(1/n) as n tends to infinity.

1, 3, 0, 1, 7

Offset

1,2

Comments

The constant describes the asymptotic behavior of the number of ternary squarefree words.

The next term a(6) is known to be either 6 or 5 (in the latter case it is followed by a(7) = 9).

Links

Table of n, a(n) for n=1..5.

A. M. Shur, Numerical values of the growth rates of power-free languages, arXiv:1009.4415 [cs.FL], 2010.

Eric Weisstein's World of Mathematics, Squarefree Word

Example

1.3017...

Crossrefs

Cf. A006156.

Sequence in context: A341856 A339350 A244118 * A208345 A216807 A216802

Adjacent sequences: A273152 A273153 A273154 * A273156 A273157 A273158

Keyword

nonn,hard,more,cons

Author

Vladimir Reshetnikov, May 16 2016

Status

approved