A250129 - OEIS

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A250129

Decimal expansion of the negated value of the digamma function at 1/8.

4

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

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

Eric Weisstein's MathWorld, Gauss's Digamma Theorem.

Wikipedia, Digamma function: special values.

Index entries for sequences related to the digamma function

FORMULA

Psi(1/8) = -gamma - (1/2)*(1+sqrt(2))*Pi - sqrt(2)*arccoth(sqrt(2)) - 4*log(2).

EXAMPLE

Psi(1/8) = -8.388492663295854867802742923086343000051446...

MATHEMATICA

RealDigits[PolyGamma[1/8], 10, 105] // First

PROG

(PARI) -psi(1/8) \\ Charles R Greathouse IV, Jan 15 2015

CROSSREFS

Cf. A020759, A020777, A047787, A200064, A222457, A222458.

Sequence in context: A006833 A368008 A085011 * A099724 A024568 A166202

Adjacent sequences: A250126 A250127 A250128 * A250130 A250131 A250132

KEYWORD

nonn,cons,easy

AUTHOR

Jean-François Alcover, Jan 15 2015

STATUS

approved