Perimeter of an ascent sequence

Key Points

• To derive explicit formulas for counting ascent sequences based on half perimeter and longest increasing subword.
• Developed generating functions for ascent sequences based on specified criteria.
• Applied combinatorial techniques for explicit formula derivation.
• Provided explicit formulas for the generating function linked to half perimeter.
• Derived an explicit formula for counting ascent sequences based on the initial longest increasing subword.