A351432 Decimal expansion of sqrt(3)/2 + Pi*tanh(Pi*sqrt(3)/2)/2.

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, 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, 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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..106.

Formula

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

Example

2.423266628497632696893294495...

Mathematica

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

Prog

(PARI) imag(psi(-1/2+I*sqrt(3)/2)) \\ Michel Marcus, Feb 11 2022

Crossrefs

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

Sequence in context: A054507 A182742 A087229 * A320156 A351785 A054240

Adjacent sequences: A351429 A351430 A351431 * A351433 A351434 A351435

Keyword

cons,nonn

Author

Artur Jasinski, Feb 11 2022

Extensions

Last two digits corrected by Georg Fischer, May 15 2024

Status

approved