On Third-Order Linear Recurrent Functions
A function ψ:R→R is said to be a Tribonacci function with period p if ψ(x+3p)=ψ(x+2p)+ψ(x+p)+ψ(x), for all x∈R. In this paper, we present some properties on the Tribonacci functions with period p. We show that if ψ is a Tribonacci function with period p, then limx→∞ψ(x+p)/ψ(x)=β, where β is the root of the equation x3-x2-x-1=0 such that 1<β<2.
1973 ◽
Vol 41
(1)
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pp. 151-151
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Keyword(s):
1994 ◽
Vol 57
(2)
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pp. 138-148
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