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The Computer-Aided Discovery of a Theorem about Young Tableaux

H. Wilf
Journal / Anthology

Journal of Symbolic Computation
Year: 1995
Volume: 20
Page range: 731-735

Recently a relationship was discovered between the number of permutations of n letters that have no increasing subsequence of length >k, on the one hand, and the number of Young tableaux of n cells whose first row is of length < or= k, on the other. The proof seemed quite unmotivated and artificial. Here we describe the sequence of events that led to the discoverey, via computer algebra, of this relationship.

*Mathematics > Discrete Mathematics > Combinatorics