Papers:

• T. Chow and C. Long, Additive Partitions and Continued Fractions (dvi, pdf), The Ramanujan Journal, accepted for publication. It'll be appearing in Volume 3, Issue 1, January 1999.

  If you'll check the table of contents you'll see that David Grabiner has written a follow-up paper, Continued Fractions and Unique Additive Partitions, Mathematical Sciences Research Institute preprint 1997-034. Both papers will be appearing in the same issue.

  Several related papers have been written:

  • Ioana Dumitriu, On generalized tribonacci sequences and additive partitions, Discrete Mathematics 219 (May 2000), 65-83.
  • Micheal Develin, Avoidable sets in groups, 1998, to appear, Ars Combinatoria.
  • Micheal Develin, A complete categorization of when generalized Tribonacci sequences can be avoided by additive partitions, The Electronic Journal of Combinatorics, 7 (2000), #R53.

• C. Long, Some Results on Digit-Sum Sequences (dvi, pdf), The Journal of Recreational Mathematics, 23:4(1991), 244-246.

  A short little paper on a non-serious problem, but I'm still amazed that I was able to show the result that I did.

• C. Long, Mathematics of Square Construction, Word Ways, (1992), 5-8.

  This paper in mentioned in Cambon Jensen's thesis.

• C. Long, Mathematics of Word Quality, Word Ways, (1993), 99-102.

• C. Long, Inversion Squares and Triple Cubes, Word Ways.