A152935 - OEIS

%I #18 Sep 08 2022 08:45:39

%S 6,1,3,1,4,7,1,9,2,7,6,5,4,5,8,4,1,3,1,2,9,7,5,3,8,6,1,5,3,2,1,7,9,1,

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

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

%N Decimal expansion of log_6 (3).

%C The lower bound for the ratio of the number of x/2 steps to all steps in the Collatz iteration. - _T. D. Noe_, Apr 30 2010

%H Vincenzo Librandi, <a href="/A152935/b152935.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals A154911 - 1. - _Bruno Berselli_, Aug 31 2013

%e .61314719276545841312975386153217912353485814054289657161050...

%t RealDigits[Log[6, 3], 10, 100][[1]] (* _Vincenzo Librandi_, Aug 31 2013 *)

%o (PARI) default(realprecision, 100); log(3)/log(6) \\ _G. C. Greubel_, Sep 14 2018

%o (Magma) SetDefaultRealField(RealField(100)); Log(3)/Log(6); // _G. C. Greubel_, Sep 14 2018

%Y Cf. decimal expansion of log_6(m): A152683 (m=2), this sequence, 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).

%K nonn,cons

%O 0,1

%A _N. J. A. Sloane_, Oct 30 2009