A372609 - OEIS

%I #15 May 18 2024 21:30:10

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

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

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

%N Decimal expansion of (10/9)*log(2).

%H Paolo Xausa, <a href="/A372609/b372609.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.

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

%F Equals Sum_{k >= 1} A196564(k)/(k*(k + 1)). See eq. 2.6 and Sum 13 in Borwein and Borwein (1992), p. 626.

%F Equals (10/3)*A193535. - _Hugo Pfoertner_, May 07 2024

%e 0.77016353395549478824136902384241840897277792706695028235631...

%t First[RealDigits[10*Log[2]/9, 10, 100]]

%o (PARI) log(2)*10/9 \\ _Charles R Greathouse IV_, May 18 2024

%Y Cf. A002162, A193535, A196564, A372585.

%K nonn,cons

%O 0,1

%A _Paolo Xausa_, May 07 2024