Lah numbers: Difference between revisions
Content added Content deleted
m (promoted draft task to a (full) task.) |
Thundergnat (talk | contribs) (Undo vandalism to task description) |
||
Line 1:
{{task}}
Lah numbers, sometimes referred to as
Unsigned Lah numbers count the number of ways a set of
Lah numbers are closely related to Stirling numbers of the first & second kinds, and may be derived from them.
Lah numbers obey
L(n, 0), L(0, k) = 0
L(n, n) = 1
L(n, 1) = n!
L(n, k) = ( n! * (n - 1)! ) / ( k! * (k - 1)! ) / (n - k)! # For unsigned Lah numbers
''or''
L(n, k) = (-1)**n * ( n! * (n - 1)! ) / ( k! * (k - 1)! ) / (n - k)! # For signed Lah numbers
;Task:
|