Last updated: November 13, 2024
32) The Penults of Tak: Adventures in Impartial, Normal-play, Positional Games with Boris Alexeev, Paul Ellis, Michael Richter, comes with the Maple program: Tak, Sample Ouput:Input-Output, Submitted
31) von Neumann and Newman Pokers with Finite Decks with Tipaluck Krityakierne and Doron Zeilberger, Submitted
30) The Slowest Coupon Collector's Problem with Tipaluck Krityakierne, comes with the Maple program: Coupon, To be published in Journal of Systems Science and Complexity.
29) Ansatz in a Nutshell: A comprehensive step-by-step guide to polynomial, C-finite, holonomic, and C^2-finite sequences with Tipaluck Krityakierne, Published in Applied Mathematical Analysis and Computations I (SGMC 2021), 30 July 2024, Pages 255-297.
28) Two Games on Arithmetic Functions: Saliquant and Nontotient with Paul Ellis, Jason Shi, Andrew Tu comes with the Maple program: Sum and example file: SaliNon, Published in Discrete Mathematics Letters, Volume 12 (2023), Pages 209-216.
27) Moments of the one-shuffle no-feedback card guessing game with Tipaluck Krityakierne, Poohrich Siriputcharoen and Chaloemkiat Yapolha, Published in Discrete Mathematics Letters, Volume 12 (2023), Pages 110-117.
26) The Arithmetic-Periodicity of CUT for C = {1,2c} with Paul Ellis, comes with the Maple program: PartitionGame, Published in Discrete Applied Mathematics, Volume 322, 15 December 2022, Pages 391-403.
25) The Card Guessing Game: A generating function approach with Tipaluck Krityakierne, Published in Journal of Symbolic Computation, Volume 115, March-April 2023, Pages 1-17.
24) Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz with Hao Du, Christoph Koutschan and Elaine Wong. Website of the paper which you can find programs that prove theorems: here, Published in European Journal of Combinatorics, Volume 99, January 2022, Article 103437.
23) Rado Numbers of Regular Nonhomogeneous Equations comes with the Maple program: Schaal, Published in Discrete Mathematics Letters, Volume 4, 2020, Pages 5-10.
22) A Multi-Computational Exploration of Some Games of Pure Chance with Doron Zeilberger, Published in Journal of Symbolic Computation, Volume 104, May-June 2021, Pages 38-68.
21) Game of Pure Chance with Restricted Boundary with Ho Hon Leung, Published in Discrete Applied Mathematics , Volume 283, 15 September 2020, Pages 613-625.
20) A Quantitative Study on Average Number of Spins of Two-Player Dreidel comes with the Maple program: SimDreidel, Published in Journal of Difference Equations and Applications, Volume 25, Issue 12, 2019, Page 1738-1743.
19) Statistics of Domino Tilings on a Rectangular Board comes with the Maple program: Domino and Guess , Published in Conference Proceedings Issue of the Fibonacci Quaterly, 145-153, Volume 57(5), 2019.
18) A Probabilistic Two-Pile Game (with Ho Hon Leung), comes with the Maple program: Piles and Guess , Published in Journal of Integer Sequences, Volume 22, Issue 4, 2019. Update on Conjectures
17) A Curious Family of Binomial Determinants That Counts Rhombus Tilings of a Holey Hexagon (with Christoph Koutschan), the supplement material involving detail calculation is here, Published in Journal of Combinatorial Theory, Series A, Volume 166, August 2019, Pages 352-381.
16) The Curious Bounds of Floor Function Sums (with Elaine Wong) comes with the Maple program: Floor , Published in Journal of Integer Sequences, Volume 21, Issue 1, 2018.
15) On Identities Of Ruggles, Horadam, Howard, and Young (with Curtis Cooper, Steven Miller, Peter Moses and Murat Sahin) comes with the Maple program: Cooper , Published in Conference Proceedings Issue of the Fibonacci Quaterly, Volume 55(5), 2017
14) On the Minimum Number of Monochromatic Generalized Schur Triples (with Elaine Wong) comes with the Maple program: Schur , Published in Electronic Journal of Combinatorics, Volume 24(2), 2017 (Here are some questions/comments that I got.)
13) Parts and Subword Patterns in Compositions (with Brian Hopkins, Mark Shattuck, Andrew Sills and Hua Wang), Published in Journal of Combinatorics and Number Theory (JCNT), Volume 9, Issue 1, 2017.
12) Determinants of Rising Powers of Second Order Linear Recurrence Entries by Means of the Desnanot-Jacobi Identity (with Aram Tangboonduangjit) comes with the Maple program: Prodinger , Published in The Fibonacci Quarterly, Volume 54, November 2016.
11) Determinants Containing Powers of Generalized Fibonacci Numbers (with Aram Tangboonduangjit) comes with the Maple program: DetFibo , Published in Journal of Integer Sequences, Volume 19, Issue 7, 2016.
10) Rook Endgame Problems in m by n Chess , Published in Advances in Applied Mathematics, Volume 61, Page 19-24 (October 2014).
9) Beyond Zudilin's Conjectured q-analog of Schmidt's problem , Published in Journal of Difference Equations and Applications, Volume 20(9), 2014, Page 1344-1349.
8) A Simple Proof of Schmidt's Conjecture, Published in Journal of Difference Equations and Applications, Volume 20(3), 2014, Page 413-415.
7) Advanced Computer Algebra for Determinants (with Christoph Koutschan), the supplement material involving detail calculation is here, Published in Annals of Combinatorics: Volume 17, Issue3(2013), Page 509-523.
6) Harmonic interpolation based on Radon projections along the sides of regular polygons , Published in DK Computational Mathematics. Technical report no.2011-12, Johannes Kepler University Linz, Austria, 2011.
5) Toads and Frogs: Further Hopping with Toads and Frogs , Published in Electronic Journal of Combinatorics R14 of Volume 18(1), 2011
4) On the Monochromatic Schur Triples type problem Published in Electronic Journal of Combinatorics R14 of Volume 16(1), 2009
3) A symbolic finite-state approach for automated proving of theorems in combinatorial game theory (with Doron Zeilberger), Published in Journal of Difference Equations and Applications, Volume 15(2), 2009, Page 111-118.
2) How to beat Capablanca , Published in Advanced in Applied Mathematics, Volume 40/2(2008), Page 266-270. With Maple program: Rook
1) Permutation Statistics , Published in Mathematics Magazine, April 2004.