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A293812 Decimal expansion of log(3)/log(1 + sqrt(2)).

%I A293812 #21 Dec 24 2024 12:52:19
%S A293812 1,2,4,6,4,7,7,4,3,5,7,2,9,8,1,5,8,4,1,8,9,1,0,0,4,2,4,8,7,4,8,1,5,1,
%T A293812 8,3,9,9,6,1,0,5,5,3,0,0,0,3,3,7,6,4,1,7,7,9,6,8,4,5,1,9,3,3,5,4,4,5,
%U A293812 6,4,4,5,7,3,4,3,7,8,0,5,1,4,4,8,2,1,6,6,2,4,3,8,7,9,0,6,9,7,5,6,5,2,6,1,7
%N A293812 Decimal expansion of log(3)/log(1 + sqrt(2)).
%C A293812 Fractal dimension of the frontier of the Fibonacci word fractal.
%H A293812 G. C. Greubel, <a href="/A293812/b293812.txt">Table of n, a(n) for n = 1..10000</a>
%H A293812 Alexis Monnerot-Dumaine, <a href="https://hal.archives-ouvertes.fr/hal-00367972/">The Fibonacci Word Fractal</a>, HAL-00367972, February 2009, section 5.2.
%H A293812 Alexis Monnerot-Dumaine, <a href="/A171587/a171587.pdf">The Fibonacci word fractal</a> [Cached copy, with permission]
%H A293812 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A293812 1.24647743572981584189100424874815183996105530003376417796845193354456...
%p A293812 evalf(log(3)/log(1+sqrt(2)),110); # _Muniru A Asiru_, Oct 11 2018
%t A293812 RealDigits[Log[3]/Log[1 + Sqrt[2]], 10, 100][[1]] (* _G. C. Greubel_, Oct 10 2018 *)
%o A293812 (Magma) SetDefaultRealField(RealField(105)); n:=Log(1+Sqrt(2),3); Reverse(Intseq(Floor(10^104*n)));
%o A293812 (PARI) log(3)/log(1+sqrt(2))
%Y A293812 Equals A002391 / A091648.
%K A293812 nonn,cons
%O A293812 1,2
%A A293812 _Arkadiusz Wesolowski_, Oct 16 2017