A351432 - OEIS

%I #29 May 15 2024 12:24:22

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

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

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

%N Decimal expansion of sqrt(3)/2 + Pi*tanh(Pi*sqrt(3)/2)/2.

%C Imaginary part of psi(-1/2 + i*sqrt(3)/2) where psi is the digamma function.

%F Equals sqrt(3)*(1 - gamma/3 - Re(psi(-1/2 + i*sqrt(3)/2)/3 + A339606).

%e 2.423266628497632696893294495...

%t RealDigits[N[Sqrt[3]/2 + 1/2 Pi Tanh[Sqrt[3] Pi/2], 105]][[1]]

%o (PARI) imag(psi(-1/2+I*sqrt(3)/2)) \\ _Michel Marcus_, Feb 11 2022

%Y Cf. A024006, A100554, A113319, A256919, A259171, A338815, A339135, A339529, A339530, A339604, A339605, A339606, A347292.

%K cons,nonn

%O 1,1

%A _Artur Jasinski_, Feb 11 2022

%E Last two digits corrected by _Georg Fischer_, May 15 2024