Stirling Numbers of the First Kind count the number of permutations of a set that can be written as a product of k disjoint cycles. Or less formally, the number of ways of seating n people at k identical round tables (where the actual seats are identical and the only thing that matters is who is sitting to the left of who). Stirling Numbers of the First Kind are defined, a recurrence relation is proved, and a formula for {n brack n-2} is given. Subscribe @Shahriari for more undergraduate math videos.
Videos on Stirling Numbers:
CO24: Stirling Numbers of the Second Kind • CO24 The Stirling Numb...
CO25: A formula for Bell Numbers • CO25 A formula for Bel...
CO26: Formulas for Stirling Numbers of the Second Kind • CO26 Formulas for Stir...
CO27: Stirling Numbers of the First Kind • CO27 What are the Stir...
CO28: Stirling #s of 1st Kind & Falling Factorials • CO28 Stirling #s of 1s...
CO29: Stirling #s of 1st Kind vs 2nd Kind • CO29 Stirling Numbers ...
Part of a series of lectures on introductory Combinatorics. This full course is based on my book
Shahriar Shahriari, An Invitation to Combinatorics, Cambridge University Press, 2022.
DOI: doi.org/10.1017/9781108568708
For an annotated list of available videos see
pomona.box.com/s/by2ay2872avx...
KZitem Playlist: • Combinatorics, An Invi...
Shahriar Shahriari is the William Polk Russell Professor of Mathematics at Pomona College in Claremont, CA, U.S.A.
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