Child¡¯s addition in the Stern-Brocot tree

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• 作者：Bruce Bates ^{bbates@uow.edu.au} ; Martin Bunder ^{mbunder@uow.edu.au} ; Keith Tognetti ^{tognetti@uow.edu.au}
• 刊名：European Journal of Combinatorics
• 出版年：2012
• 出版时间：February, 2012
• 年：2012
• 卷：33
• 期：2
• 页码：148-167
• 全文大小：293 K

文摘

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.