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Continued fraction expansion of log_10(3).
4

%I #27 Jul 09 2024 12:46:17

%S 0,2,10,2,2,1,13,1,7,18,2,2,1,2,3,4,1,1,14,2,44,1,3,1,14,2,2,1,1,2,30,

%T 1,1,3,2,4,3,7,2,6,8,1,2,7,62,1,3,4,60,1,89,3,3,1,1,7,3,3,2,4,2,2,1,

%U 25,2,6,2,2,1,3,2,2,1,1,2,5,1,1,1,1,1,3,66

%N Continued fraction expansion of log_10(3).

%t ContinuedFraction[Log10[3],120] (* _Harvey P. Dale_, Nov 24 2017 *)

%o (PARI) default(realprecision,99); contfrac(log(3)/log(10))

%Y Cf. A114490 (decimal expansion), A215753, A215757 (convergents).

%Y Cf. A028232, A215750, A082571, A215752 (continued fraction expansion of log_2(10), log_10(6), log_10(7), log_10(11)).

%K nonn,cofr

%O 0,2

%A _V. Raman_, Aug 23 2012

%E a(0)=0 prepended by _Andrew Howroyd_, Jul 09 2024