Publications

22) A Multi-Computational Exploration of Some Games of Pure Chance with Doron Zeilberger, Submitted.

21) Rado Numbers of Regular Nonhomogeneous Equations comes with the Maple program: Schaal, Submitted.

20) A Quantitative Study on Average Number of Spins of Two-Player Dreidel comes with the Maple program: SimDreidel, To appear in Journal of Difference Equations and Applications.

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.

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

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.