A369882 - OEIS

%I #22 Nov 21 2024 09:27:21

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

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

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

%N Decimal expansion of log(2) - 1/4.

%H Michael Ian Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">A catalog of the real numbers</a> (2011), p. 453.

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

%F Equals Sum_{k >= 2} (-1)^k*k/(k^2 - 1) [Shamos].

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

%e 0.443147180559945309417232121458176568075500134...

%t RealDigits[Log[2] - 1/4, 10, 120][[1]] (* _Amiram Eldar_, Feb 04 2024 *)

%o (PARI) log(2)-1/4

%Y Cf. A358517, A365524.

%Y Essentially the same as A002162 and A187832.

%K nonn,cons

%O 0,1

%A _Claude H. R. Dequatre_, Feb 04 2024