bell: Bell Numbers
In numbers: Number-Theoretic Functions
bell R Documentation
Bell Numbers
Description
Generate Bell numbers.
Usage
bell(n)
Arguments
n
integer, asking for the n-th Bell number.
Details
Bell numbers, commonly denoted as B_n, are defined as the number of
partitions of a set of n elements. They can easily be calculated
recursively.
Bell numbers also appear as moments of probability distributions, for example
B_n is the n-th momentum of the Poisson distribution with mean 1.
Value
A single integer, as long as n<=22.
Examples
sapply(0:10, bell)
# 1 1 2 5 15 52 203 877 4140 21147 115975
numbers documentation built on Dec. 29, 2022, 4:07 p.m.
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| bell | R Documentation |
Bell Numbers
Description
Generate Bell numbers.
Usage
bell(n)
Arguments
n |
integer, asking for the n-th Bell number. |
Details
Bell numbers, commonly denoted as B_n, are defined as the number of
partitions of a set of n elements. They can easily be calculated
recursively.
Bell numbers also appear as moments of probability distributions, for example
B_n is the n-th momentum of the Poisson distribution with mean 1.
Value
A single integer, as long as n<=22.
Examples
sapply(0:10, bell) # 1 1 2 5 15 52 203 877 4140 21147 115975
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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