On the Integrality of Some P-Recursive Sequences

Explore a mathematical lecture examining integrality criteria for P-recursive sequences, specifically focusing on Motzkin-type sequences and holonomic sequences. Learn about a unified approach for analyzing global boundedness and algebraicity within broader classes of mathematical sequences. Discover an algorithm designed to identify all algebraic solutions of second-order recurrence relations with linear polynomial coefficients. Understand how algebraicity and global boundedness prove equivalent in special cases, enabling systematic detection of globally bounded solutions. Examine practical applications for determining when P-recursive sequences are integral or almost integral, addressing fundamental questions in combinatorics and differential algebra through research conducted in collaboration with Alin Bostan.