InversionSeq

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Contents

• Position Bounds for Rotated Blocks
• Independent Choices of Block Boundaries
• Weakly Increasing Inversion Sequences and Dyck Paths
• Factorizations at the Initial Ascent and Final Descent
• Generating Function for the Final Descent
• Enumeration of Gap Suffixes
• Separation of Internal and Final Gap Weights
• A Bijection with Bounded Sorted Labels
• Structure of the Left Avoidance Class
• Generating Function for a Marked Interior Descent
• Multiplicities of Ordered Binary Choices
• Generating Function for the Penultimate Descent
• A Catalan Bijection for Prefixes
• Run Lengths under Dyck Path Reflection
• Structure of the Right Avoidance Class
• Enumeration of the Right Avoidance Class
• Rotation Blocks for 201 and 210 Avoidance
• Generating Function for Bounded Right Suffixes
• Durfee-Square Decomposition
• Formal Euler Expansion
• Formal Jacobi Triple Product
• Equinumerosity of Inversion Sequences in Class 152
• Inversion Sequences and Pattern Avoidance
• Occurrences of Length-Three Patterns