Lah numbers: Difference between revisions
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Lah numbers, sometimes referred to as Stirling numbers of the third kind, are coefficients of polynomial expansions expressing rising factorials in terms of falling factorials. |
Lah numbers, sometimes referred to as ''Stirling numbers of the third kind'', are coefficients of polynomial expansions expressing rising factorials in terms of falling factorials. |
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Unsigned Lah numbers count the number of ways a set of '''n''' elements can be partitioned into '''k''' non-empty linearly ordered subsets. |
Unsigned Lah numbers count the number of ways a set of '''n''' elements can be partitioned into '''k''' non-empty linearly ordered subsets. |
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Lah numbers are closely related to Stirling numbers of the first & second kinds, and may be derived from them. |
Lah numbers are closely related to Stirling numbers of the first & second kinds, and may be derived from them. |