1.1k citations
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Showing 2021 · math.COShow all
3 papers · 2 filters
math.CO2021★ 4 cited
Connections between two classes of generalized Fibonacci numbers squared and permanents of (0,1) Toeplitz matrices
Michael A. Allen, Kenneth Edwards
By considering the tiling of an -board (a linear array of square cells of unit width) with new types of tile that we refer to as combs, we give a combinatorial interpretatio…
math.CO2021★ 7 cited
The Card Guessing Game: A generating function approach
Tipaluck Krityakierne, Thotsaporn Aek Thanatipanonda
Consider a card guessing game with complete feedback in which a deck of cards ordered is riffle-shuffled once. With the goal to maximize the number of correct gues…
math.CO2021★ 9 cited
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz
Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda +1
We present and prove closed form expressions for some families of binomial determinants with signed Kronecker deltas that are located along an arbitrary diagonal in the correspondi…