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Nonnegative symmetric decomposition conjecture for fixed-point-free involution Eulerian polynomials
Nonnegative decomposition conjecture. For $n\geq 9$ and $k\geq 1$ , the coefficients $b_{2n,k}$ are nonnegative integers.
Conjectureopenfixed-point-free-involutions permutation-statistics unimodalityarXiv posted 2 days ago

Nonnegative symmetric decomposition conjecture for fixed-point-free involution Eulerian polynomials