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A152747 Decimal expansion of log_9 (2). 20

%I #15 Sep 08 2022 08:45:39

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

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

%U 2,6,0,0,6,9,0,4,5,7,4,0,2,5,3,0,5,8,6,3,4,4,2,7,4,7,2,5,8,7,2

%N Decimal expansion of log_9 (2).

%H Vincenzo Librandi, <a href="/A152747/b152747.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 Integral_{x=1..oo} 1/(3^x - 3^(-x)) dx. - _Amiram Eldar_, Jul 16 2020

%e .31546487678572871854976355717138042714979282006594021393532...

%t RealDigits[Log[9, 2], 10, 100][[1]] (* _Vincenzo Librandi_, Sep 01 2013 *)

%o (PARI) default(realprecision, 100); log(2)/log(9) \\ _G. C. Greubel_, Aug 31 2018

%o (Magma) SetDefaultRealField(RealField(100)); Log(2)/Log(9); // _G. C. Greubel_, Aug 31 2018

%Y Cf. decimal expansion of log_9(m): this sequence, A153205 (m=5), A153495 (m=6), A153619 (m=7), A153756 (m=8), A154160 (m=10), A154181 (m=11), A154202 (m=12), A154339 (m=13), A154469 (m=14), A154578 (m=15), A154859 (m=17), A154947 (m=18), A155061 (m=19), A155503 (m=20), A155676 (m=21), A155743 (m=22), A155829 (m=23), A155976 (m=24).

%K nonn,cons

%O 0,1

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

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