- 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...
- 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...
- Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000166 (
Subfactorial or
rencontres numbers, or derangements:
number of
permutations of n elements...
- Foundation.
Retrieved 1 June 2016. Sloane, N. J. A. (ed.). "Sequence A000166 (
Subfactorial or
rencontres numbers, or derangements:
number of
permutations of n elements...
- of
derangements of 6 elements,
centered square number,
Smith number,
subfactorial 6. 266 = 2·7·19 = { 8 6 } {\displaystyle \left\{{8 \atop 6}\right\}}...
- Sequences. OEIS Foundation.
Retrieved 2016-05-30. "Sloane's A000166 :
Subfactorial or
rencontres numbers, or derangements". The On-Line
Encyclopedia of...
-
theorem Stirling number Stirling transform Stirling's
approximation Subfactorial Table of
Newtonian series Taylor series Trinomial expansion Vandermonde's...
- factorial". 2.
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". *...
- }{\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 ]...
