A280234 Decimal expansion of log(27)/log(27/4).

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

Offset: 1

Author

Charles R Greathouse IV, Feb 24 2017

Keywords

• cons
• nonn

Comments

Appears as an exponent in an upper bound on the number of partitions of a set into disjoint unions; related to the ASTRAL algorithm in phylogenetic reconstruction.

Examples

			1.72598245787871910871908531940620853665960266205954942767875290916035...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Daniel Kane and Terence Tao, A bound on partitioning clusters, arXiv:1702.00912 [math.CO] (2017).
• Daniel Kane and Terence Tao, A bound on partitioning clusters, Electronic Journal of Combinatorics, 24 (2) (2017), Article P2.31.
• Index entries for transcendental numbers

Crossrefs

Cf. A016627 (log(4)), A016650 (log(27)).

Programs

Magma

SetDefaultRealField(RealField(100)); Log(27)/Log(27/4); // G. C. Greubel, Oct 13 2018

Mathematica

RealDigits[N[Log[27]/(Log[27/4]), 100]] [[1]] (* Vincenzo Librandi, Feb 24 2017 *)

PARI

log(27)/log(27/4)

Extensions

More digits from Jon E. Schoenfield, Mar 15 2018