A152683 Decimal expansion of log_6 (2).

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

Offset: 0

Author

N. J. A. Sloane, Oct 30 2009

Keywords

• nonn
• cons

Comments

The upper bound for the ratio of the number of 3x+1 steps to all steps in the Collatz iteration. - T. D. Noe, Apr 30 2010

Examples

			.38685280723454158687024613846782087646514185945710342838949...
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Emmanuel Jeandel, Michael Rao, An aperiodic set of 11 Wang tiles, arXiv:1506.06492 [cs.DM], 2015. See p. 10.
• Index entries for transcendental numbers

Crossrefs

Cf. decimal expansion of log_6(m): this sequence, A152935 (m=3), A153102 (m=4), A153202 (m=5), A153617 (m=7), A153754 (m=8), A154009 (m=9), A154157 (m=10), A154178 (m=11), A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

Magma

SetDefaultRealField(RealField(100)); Log(2)/Log(6); // G. C. Greubel, Sep 13 2018

Mathematica

RealDigits[Log[6,2],10,120][[1]] (* Harvey P. Dale, Sep 12 2012 *)

PARI

default(realprecision, 100); log(2)/log(6) \\ G. C. Greubel, Sep 13 2018

Formula

Equals log(2)/log(6) (A002162/A016629), that is, log(2)/(log(2)+log(3)). - Michel Marcus, Aug 18 2018