Unimodal inversion sequences and related pattern classes

Four of these classes were separately shown previously to be enumerated by this sequence, while the five others are new. In chronological order of publication, see [1, Lemma 10] for T2, [4, Example 6.4] for T9, [9, Theorems 3.4 and 3.5] for T4, and [3, Section 3.3] for T8. The same sequence also enumerates unimodal inversion sequences [8]. An inversion sequence (subexcedant sequence, a reversal of a Lehmer code) is a sequence e = e1e2 . . . en (n > 0) such that ei ∈ [0, i− 1] for all i. We generalize these findings in two different ways.