Skip to main content

Child's addition in the Stern - Bocot tree

Journal Article


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.

Publication Date


  • 2012

Citation


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

Scopus Eid


  • 2-s2.0-80054052357

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1958

Has Global Citation Frequency


Number Of Pages


  • 19

Start Page


  • 148

End Page


  • 167

Volume


  • 33

Issue


  • 2

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.

Publication Date


  • 2012

Citation


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

Scopus Eid


  • 2-s2.0-80054052357

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1958

Has Global Citation Frequency


Number Of Pages


  • 19

Start Page


  • 148

End Page


  • 167

Volume


  • 33

Issue


  • 2