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Decimal expansion of log_10(4).
24

%I #24 Aug 04 2020 01:18:36

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

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

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

%N Decimal expansion of log_10(4).

%C In engineering (all branches, but particularly electronic and electrical) power and amplitude ratios are measured rigorously in decibels (dB). This constant, with offset 1 (i.e., 6.02... = 10*A114493) is the dB equivalent of a 2:1 amplitude ratio or, equivalently, 4:1 power ratio. - _Stanislav Sykora_, Dec 11 2013

%H Vincenzo Librandi, <a href="/A114493/b114493.txt">Table of n, a(n) for n = 0..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CatalanNumber.html">Catalan Number</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CentralBinomialCoefficient.html">Central Binomial Coefficient</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Decibel">Decibel</a>

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

%F A016627 divided by A002392. Two times A007524. - _R. J. Mathar_, Feb 21 2013

%e 0.602059991...

%p log10(4.0) ; # _R. J. Mathar_, Feb 21 2013

%t RealDigits[Log[10, 4], 10, 100][[1]] (* _Vincenzo Librandi_, Sep 10 2013 *)

%o (PARI) log(4)/log(10) \\ _Charles R Greathouse IV_, Aug 04 2020

%Y Cf. A000108, A114466.

%Y Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), this sequence, A153268 (m=5), A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

%K nonn,cons,easy

%O 0,1

%A _Eric W. Weisstein_, Dec 01 2005