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A222457 Decimal expansion of the negated value of the digamma function at 1/6. 4
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

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

Wikipedia, Digamma function: special values.

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

AUTHOR

Bruno Berselli, Feb 21 2013

STATUS

approved

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Last modified August 5 00:15 EDT 2021. Contains 346456 sequences. (Running on oeis4.)