A393088 - OEIS

%I #6 Feb 02 2026 05:15:12

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

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

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

%N Decimal expansion of 5/36 - log(2)/6.

%D Konrad Knopp, Theory and application of infinite series, Blackie & Son Limited, London and Glasgow, 1954. See exercise 107 at page 268.

%H Michael I. Shamos, <a href="https://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 55.

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

%F Equals Sum_{k>=0} (-1)^k/((2*k + 1)*(2*k + 2)*(2*k + 4)*(2*k + 5)).

%e 0.0233643587955646706526835353125261275429721998...

%t Join[{0},RealDigits[5/36-Log[2]/6,10,100][[1]]]

%Y Cf. A002162, A069079.

%K nonn,cons,easy

%O 0,2

%A _Stefano Spezia_, Feb 01 2026