Logarithmic Number

A Coefficient of the Maclaurin Series of

$${1\over\ln(1+x)}={1\over x}+{\textstyle{1\over 2}}-{\textsty... ...\textstyle{19\over 720}}x^3+{\textstyle{3\over 160}}x^4+\ldots$$

(Sloane's A002206 and A002207), the multiplicative inverse of the Mercator Series function $\ln(1+x)$.

See also Mercator Series

References

Sloane, N. J. A. Sequences A002206/M5066 and A002207/M2017 in ``An On-Line Version of the Encyclopedia of Integer Sequences.'' http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.