대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제32권2호
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- Pages.239-249
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- 1995
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
A COMPLETENESS ON GENERALIZED FIBONACCI SEQUENCES
초록
Let $V = (v_1, v_2, \cdots)$ be a sequence of positive integers arranged in nondecreasing order. We define V to be complete if every positive integer n is the sum of some subsequence of V, that is, $$ (1.1) n = \sum_{i=1}^{\infty} a_i v_i where a_i = 0 or 1.