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Lah Number

The numbers

B_(n,k)(1!,2!,3!,...)=(n-1; k-1)(n!)/(k!),

where B_(n,k) is a Bell polynomial.

See also

Bell Polynomial, Idempotent Number

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References

Comtet, L. Advanced Combinatorics: The Art of Finite and Infinite Expansions, rev. enl. ed. Dordrecht, Netherlands: Reidel, p. 156, 1974.Roman, S. The Umbral Calculus. New York: Academic Press, p. 86, 1984.Rota, G.-C.; Kahaner, D.; Odlyzko, A. "On the Foundations of Combinatorial Theory. VIII: Finite Operator Calculus." J. Math. Anal. Appl. 42, 684-760, 1973.

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Lah Number

Cite this as:

Weisstein, Eric W. "Lah Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LahNumber.html

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