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A264806 Decimal expansion of the Bell number with index 1/2 calculated using Dobiński's formula. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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

Wikipedia, Dobinski's formula, Poisson distribution.

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

Cf. A000110.

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

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Last modified February 21 21:59 EST 2020. Contains 332113 sequences. (Running on oeis4.)