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A351432
Decimal expansion of sqrt(3)/2 + Pi*tanh(Pi*sqrt(3)/2)/2.
0
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.
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
KEYWORD
cons,nonn
AUTHOR
Artur Jasinski, Feb 11 2022
EXTENSIONS
Last two digits corrected by Georg Fischer, May 15 2024
STATUS
approved