Formulas for the Number of States of an Interesting Finite Cellular Automaton and a Connection to Pascal's Triangle. - David J. Ettestad; Joaquin O. Carbonara (J. Cell. Autom., 2010)

The Cups and Stones Counting Problem, The Sierpinski Gasket, Cellular Automata, Fractals and Pascal's Triangle. - David J. Ettestad; Joaquin O. Carbonara; Michael Jansma; Michelle Rua; Katherine Sember (J. Cell. Autom., 2011)

Extending the Sierpinski Property to all Cases in the Cups and Stones Counting Problem by Numbering the Stones. - David J. Ettestad; Joaquin O. Carbonara (J. Cell. Autom., 2015)