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Elementary Sequences, Sub-Fibonacci Sequences

DIMACS (GROUP)P. C. FishburnF. S. Roberts

出版	DIMACS, Center for Discrete Mathematics and Theoretical Computer Science, 1990
URL	http://books.google.com.hk/books?id=KI-sHAAACAAJ&hl=&source=gbs_api

註釋Abstract: "Recent research in unique representability for finite measurement structures has identified a number of novel finite integer sequences. One of the simplest, called an elementary sequence, is a nondecreasing integer sequence x1x2 ... x[subscript n] with x1 = x2 = 1 and, for all k> 2, if x[subscript k]> 1 then x[subscript k] = x[subscript i] + x[subscript j] for distinct i, j k. We investigate combinatorial and number-theoretic questions for elementary sequences and identify interesting open problems. The paper also discusses sub-Fibonacci sequences x1x2 ... x[subscript n], which are characterized as nondecreasing integer sequences with x1 = x2 = 1 and [formula] for each k 2."