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
Examples
Equals 10.4237549404110767951682162190100254042916425624441889203263920841...
Links
- Eric Weisstein's World of Mathematics, Digamma Function
- Wikipedia, Digamma function
- Index entries for sequences related to the digamma function
Programs
-
Maple
evalf(-Psi(1/10), 102);
-
Mathematica
RealDigits[-PolyGamma[1/10], 10, 105][[1]]
-
PARI
-psi(1/10)
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