OFFSET
0,1
REFERENCES
G. Dobiński, Summierung der Reihe Sum(n^m/n!) für m = 1, 2, 3, 4, 5, . . ., Grunert Archiv (Arch. f. Math. und Physik), 61 (1877) 333-336.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..188
Eric Weisstein's World of Mathematics, Dobiński's Formula, Poisson Distribution.
Wikipedia, Dobinski's formula, Poisson distribution.
EXAMPLE
0.7731926563792859874827625676...
MATHEMATICA
RealDigits[SequenceLimit[1`100 Accumulate[Table[k^(1/2)/(E k!), {k, 100}]]], 10, 85][[1]] (* or *)
RealDigits[NExpectation[x^(1/2), Distributed[x, PoissonDistribution[1]], WorkingPrecision -> 110], 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vladimir Reshetnikov, Nov 25 2015
STATUS
approved