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A ternary tribonacci sequence: define the morphism f: 1 -> 2, 2 -> 3, 3 -> 1,2,3; let S[k] be result of applying f k times to 1, for k =- 0,1,2,...; sequence gives limit S[3k+1] as k -> oo.
5

%I #13 Feb 06 2019 12:31:33

%S 2,3,1,2,3,3,1,2,3,2,3,1,2,3,1,2,3,2,3,1,2,3,3,1,2,3,2,3,1,2,3,3,1,2,

%T 3,2,3,1,2,3,1,2,3,2,3,1,2,3,3,1,2,3,2,3,1,2,3,2,3,1,2,3,3,1,2,3,2,3,

%U 1,2,3,1,2,3,2,3,1,2,3,3,1,2,3,2,3,1,2,3,1,2,3,2,3

%N A ternary tribonacci sequence: define the morphism f: 1 -> 2, 2 -> 3, 3 -> 1,2,3; let S[k] be result of applying f k times to 1, for k =- 0,1,2,...; sequence gives limit S[3k+1] as k -> oo.

%H N. J. A. Sloane, <a href="/A305390/b305390.txt">Table of n, a(n) for n = 0..25280</a>

%Y The three sequence A305389, A305390, A305391 together give the limiting forms of the rows of A059832.

%Y Used by A107793.

%K nonn

%O 0,1

%A _N. J. A. Sloane_, Jun 21 2018