A222457 Decimal expansion of the negated value of the digamma function at 1/6.

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

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Ernst D. Krupnikov and K. S. Kolbig, Some special cases of the generalized hypergeometric function _{q+1}F_q, J. Comp. Appl. Math. 78 (1997) 79-95

Eric Weisstein's World of Mathematics, Gauss's Digamma Theorem.

Wikipedia, Digamma function: special values.

Index entries for sequences related to the digamma function

Formula

Psi(1/6) = -gamma -Pi*sqrt(3)/2 -3*log(3)/2 -2*log(2).

Example

Psi(1/6) = -6.3321275053749147924249615748457777225904948...

Mathematica

RealDigits[-PolyGamma[1/6], 10, 90][[1]]

Prog

(PARI) -psi(1/6)
(Maxima) fpprec:90; ev(bfloat(-psi[0](1/6)));

Crossrefs

Cf. A020759, A047787, A200064, A222458.

Sequence in context: A309974 A155964 A144542 * A198872 A327773 A085670

Adjacent sequences: A222454 A222455 A222456 * A222458 A222459 A222460

Keyword

nonn,cons,changed

Author

Bruno Berselli, Feb 21 2013

Status

approved