请输入您要查询的字词:

 

单词 s-Additive Sequence
释义

s-Additive Sequence

A generalization of an Ulam Sequence in which each term is the Sum of two earlier terms in exactly ways. -additive sequences are a further generalization in which each term has exactly representationsas the Sum of distinct earlier numbers. It is conjectured that 0-additive sequences ultimately haveperiodic differences of consecutive terms (Guy 1994, p. 233).

See also Greedy Algorithm, Stöhr Sequence, Ulam Sequence


References

Finch, S. R. ``Conjectures about -Additive Sequences.'' Fib. Quart. 29, 209-214, 1991.

Finch, S. R. ``Are 0-Additive Sequences Always Regular?'' Amer. Math. Monthly 99, 671-673, 1992.

Finch, S. R. ``On the Regularity of Certain 1-Additive Sequences.'' J. Combin. Th. Ser. A. 60, 123-130, 1992.

Finch, S. R. ``Patterns in 1-Additive Sequences.'' Experiment. Math. 1, 57-63, 1992.

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 110 and 233, 1994.

Ulam, S. M. Problems in Modern Mathematics. New York: Interscience, p. ix, 1964.


随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/2/22 16:54:09