%I #16 May 20 2024 02:09:07
%S 4,8,1,5,0,6,5,7,0,9,2,5,3,4,8,8,6,8,7,1,6,9,7,6,0,1,9,5,0,9,5,5,1,5,
%T 5,1,2,8,0,3,1,4,3,2,0,5,5,2,6,9,8,7,6,2,1,7,2,2,8,9,7,5,5,4,8,6,7,9,
%U 3,6,9,2,2,0,4,9,0,1,1,6,9,0,4,2,4,1,0,9,9,9
%N Decimal expansion of Sum_{k >= 1, 3|floor(k*log_10(2))} 1/3^k.
%H Paolo Xausa, <a href="/A372805/b372805.txt">Table of n, a(n) for n = 0..10000</a>
%H J. M. Borwein and P. B. Borwein, <a href="https://doi.org/10.2307/2324993">Strange Series and High Precision Fraud</a>, The American Mathematical Monthly, Vol. 99, No. 7 (1992), pp. 622-640.
%F Approximately 3554/7381, correct to 49 digits: see Example 4.2 (d) in Borwein and Borwein (1992), p. 635.
%e 0.481506570925348868716976019509551551280314320552698762172...
%t First[RealDigits[Sum[If[Divisible[Floor[k*Log10[2]], 3], 1/3^k, 0], {k, 250}], 10, 100]]
%Y Cf. A000244.
%K nonn,cons
%O 0,1
%A _Paolo Xausa_, May 13 2024