9 citations · 41 across the 18 of their papers we have counts for
19 papers
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…
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…
Sequences: Polynomial, C-finite, Holonomic, ...
Thotsaporn Aek Thanatipanonda, Yi Zhang
Polynomial, C-finite, Holonomic are the most common ansatz to describe the pattern of the sequences. We propose a new ansatz called X-recursive that generalize those we mentioned.…
Reviews of Symbolic Moment Calculus
Thotsaporn Aek Thanatipanonda
As a former engineering student, I have a great interest in a real world application of mathematics. Probability is something I can relate to. I am lucky enough that after I switch…
A Multi-Computational Exploration of Some Games of Pure Chance
Thotsaporn "Aek" Thanatipanonda, Doron Zeilberger
In the spirit of "multi-culturalism", we use four kinds of computations: simulation, numeric, symbolic, and "conceptual" to explore some "games of pure chance" inspired by children…
Rado Numbers of Regular Nonhomogeneous Equations
Thotsaporn "Aek'' Thanatipanonda
We consider Rado numbers of the regular equations of the form \[ c_1x_1+c_2x_2+\dots+ c_{k-1}x_{k-1} = x_k + b, \] where and $c_i \in \mathbb{Z}…