A306716 Decimal expansion of the negated value of the digamma function at 1/10.

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

Offset

2,3

Links

Table of n, a(n) for n=2..106.

Eric Weisstein's World of Mathematics, Digamma Function

Wikipedia, Digamma function

Index entries for sequences related to the digamma function

Formula

Psi(1/10) = -gamma - Pi*5^(1/4)*(sqrt(2 + sqrt(5))/2) - 2*log(2) - 5*log(5)/4 - 3*sqrt(5)*log((1 + sqrt(5))/2)/2, where gamma is the Euler-Mascheroni constant A001620.

Equals gamma - H(-9/10), H(z) the harmonic number. - Peter Luschny, Aug 22 2019

Example

Equals 10.4237549404110767951682162190100254042916425624441889203263920841...

Maple

evalf(-Psi(1/10), 102);

Mathematica

RealDigits[-PolyGamma[1/10], 10, 105][[1]]

Prog

(PARI) -psi(1/10)

Crossrefs

Cf. A020759, A047787, A020777, A200135, A222457, A250129.

Sequence in context: A134074 A010315 A021240 * A143054 A195953 A016512

Adjacent sequences: A306713 A306714 A306715 * A306717 A306718 A306719

Keyword

nonn,cons

Author

Vaclav Kotesovec, Aug 22 2019

Status

approved