OFFSET
0,3
LINKS
David W. Cantrell, Inverse of Harmonic Numbers
EXAMPLE
With InvH(x) being the inverse of H(x), x > 0, an asymptotic series for InvH(x) + 1/2 is u - 1/(24u) + 3/(640u^3) - 1525/(580608u^5) +-... where u = e^(x - g) and g is Euler's gamma constant.
MATHEMATICA
n = 12; coeffs = InverseSeries[Exp[Series[HarmonicNumber[x - 1/2], {x, Infinity, 2n - 1}] - EulerGamma]][[3]]; Table[Numerator[coeffs[[2i - 1]]], {i, 1, n}]
CROSSREFS
KEYWORD
frac,sign
AUTHOR
David W. Cantrell (DWCantrell(AT)sigmaxi.net), Apr 08 2006
STATUS
approved