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Binomial-transform conjecture for classical and enhanced k-crossing-avoiding partitions
For $k\geq2$ , let $C_k(n)$ be the number of partitions of $[n]$ avoiding classical $k$ -crossings, and let $E_k(n)$ be the number avoiding enhanced $k$ -crossings. Binomial-transform…
Conjectureopencrossing-avoidance enumerative-combinatorics set-partitionsarXiv posted 2 days ago

Binomial-transform conjecture for classical and enhanced k-crossing-avoiding partitions