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A264806
Decimal expansion of the Bell number with index 1/2 calculated using Dobiński's formula.
2
7, 7, 3, 1, 9, 2, 6, 5, 6, 3, 7, 9, 2, 8, 5, 9, 8, 7, 4, 8, 2, 7, 6, 2, 5, 6, 7, 6, 0, 5, 9, 0, 3, 0, 0, 7, 8, 9, 4, 9, 3, 3, 1, 0, 6, 6, 2, 7, 6, 2, 0, 6, 8, 6, 9, 5, 9, 5, 3, 5, 8, 2, 5, 8, 3, 6, 3, 0, 0, 1, 7, 2, 8, 7, 0, 2, 8, 3, 9, 4, 7, 7, 9, 4, 4
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
Eric Weisstein's World of Mathematics, Dobiński'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
Sequence in context: A374956 A199613 A136141 * A197843 A211074 A204067
KEYWORD
nonn,cons
AUTHOR
STATUS
approved