A264806 Decimal expansion of the Bell number with index 1/2 calculated using Dobiński's formula.

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

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

Cf. A000110, A229837.

Sequence in context: A021568 A199613 A136141 * A197843 A211074 A204067

Adjacent sequences: A264803 A264804 A264805 * A264807 A264808 A264809

Keyword

nonn,cons

Author

Vladimir Reshetnikov, Nov 25 2015

Status

approved