Fransén-Robinson Constant

The Fransén-Robinson constant  is defined by

(OEIS A058655) where  is the gamma function. No closed-form expression in terms of other constants is known for .

REFERENCES:

Finch, S. R. "Fransén-Robinson Constant." §4.6 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 262-264, 2003.

Fransén, A. "Accurate Determination of the Inverse Gamma Integral." BIT 19, 137-138, 1979.

Fransén, A. "Addendum and Corrigendum to 'High-Precision Values of the Gamma Function and of Some Related Coefficients.' " Math. Comput. 37, 233-235, 1981.

Fransén, A. and Wrigge, S. "High-Precision Values of the Gamma Function and of Some Related Coefficients." Math. Comput. 34, 553-566, 1980.

Sloane, N. J. A. Sequence A058655 in "The On-Line Encyclopedia of Integer Sequences."