- as the
subfactorial of n or the n th
derangement number or n th de
Montmort number (after
Pierre Remond de Montmort).
Notations for
subfactorials in common...
-
theorem Stirling number Stirling transform Stirling's
approximation Subfactorial Table of
Newtonian series Taylor series Trinomial expansion Vandermonde's...
- Sequences. OEIS Foundation.
Retrieved 2016-05-30. "Sloane's A000166 :
Subfactorial or
rencontres numbers, or derangements". The On-Line
Encyclopedia of...
- n". 3.
Subfactorial: if n is a
positive integer, !n is the
number of
derangements of a set of n elements, and is read as "the
subfactorial of n". *...
- coefficients,
double factorials,
falling factorials, primorials, and
subfactorials.
Implementations of the
factorial function are
commonly used as an example...
-
uniqueness quantifier or, if used in
front of a number, it can
represent a
subfactorial. In
linear logic, the
exclamation mark
denotes one of the modalities...
-
allowed by some
variations include the
reciprocal function ("1/x"),
subfactorial ("!"
before the number: !4
equals 9),
overline (an
infinitely repeated...
- }{\lambda ^{n}}}\sum _{k=0}^{n}{\frac {(-1)^{k}}{k!}}.} where !n is the
subfactorial of n The
median of X is
given by m [ X ] = ln ( 2 ) λ < E [ X ]...
- Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000166 (
Subfactorial or
rencontres numbers, or derangements:
number of
permutations of n elements...
-
permutations of an
ordered set S with
cardinality n {\displaystyle n} , and the
subfactorial (a.k.a. the
derangement function) ! n {\displaystyle !n} ,
which counts...
