The value
(Sloane's A033259) for which Laplace's formula for solving Kepler's Equation begins
diverging. The constant is defined as the value at which the function

equals . The Continued Fraction of is given by [0, 1, 1, 1, 27, 1, 1, 1, 8, 2, 154, ...] (Sloane's A033260). The positions of the first occurrences of in the Continued Fraction of are 2, 10, 35, 13, 15, 32, 101, 9, ... (Sloane's A033261). The incrementally largest terms in the Continued Fraction are 1, 27, 154, 1601, 2135, ... (Sloane's A033262), which occur at positions 2, 5, 11, 19, 1801, ... (Sloane's A033263).

**References**

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/lpc/lpc.html

Plouffe, S. ``Laplace Limit Constant.'' http://www.lacim.uqam.ca/piDATA/laplace.txt.

Sloane, N. J. A. Sequences A033259, A033260, A033261, A033262, and A033263 in ``An On-Line Version of the Encyclopedia of Integer Sequences.'' http://www.research.att.com/~njas/sequences/eisonline.html.

© 1996-9

1999-05-26