I'm a senior manager in the automotive industry, and I am mostly interested in combinatorial sequences with nice geometric interpretations.
University of Portland B.A. Mathematics, Philosophy, French Studies 2013 University of Arizona Graduate Study in Pure Mathematics 2014 (no degree) Gonzaga University Master of Teaching (Secondary Mathematics) 2015 Washington State University PhD Mathematics and Science Education (ongoing)
Italics represent sequences (to which) my former students have contributed.
Bold represents my personal favorites.
Construction: Move through an infinite plane tiling in a certain order, filling it with numbers according to some property (e.g. no repeated values in any row, column, or diagonal).
Counting Geometric Figures
Construction: How many objects are there of size n that satisfy a given property?
Construction: How many prior terms in the sequence match a given property?
Construction: What numbers satisfy a given property?
Derivatives of Other Sequences
Construction: For instance, for what values of n does A269347(n) have a given property?