A COMPLETENESS ON GENERALIZED FIBONACCI SEQUENCES

  • Lee, Gwang-Yeon (Department of Mathematics, Heseo University, Seosan 356-820)
  • Published : 1995.08.01

Abstract

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.