Child's addition in the Stern-Brocot tree

Authors

Bruce Bates, University of WollongongFollow
Martin Bunder, University of WollongongFollow
Keith Tognetti, University of WollongongFollow

RIS ID

39510

Publication Details

Bates, B., Bunder, M. & Tognetti, K. (2012). Child's addition in the Stern - Bocot tree. European Journal of Combinatorics, 33 (2), 148-167.

Abstract

We use child's addition and cross-differencing to discover significant relationships for diagonals, paths and branches within the Stern-Brocot tree and the Stern-Brocot sequence. This allows us to develop results for continued fraction summation under child's addition.