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Table 3 Josephus cycle state of each step value in experiment 3

From: Periodic characteristics of the Josephus ring and its application in image scrambling

Value of step New sequence \( {B}_{n_1} \) generated after one Josephus cycle
(t) from original sequence A n
Period of Josephus cycle (t)
1 1 2 3 4 1
2 2 4 3 1 3
3 3 2 4 1 3
4 4 1 3 2 3
5 1 3 4 2 3
6 2 1 4 3 2
7 3 4 1 2 2
8 4 2 1 3 3
9 1 4 2 3 3
10 2 3 1 4 3
11 3 1 2 4 3
12 4 3 2 1 2
13 1 2 3 4 1
... ... ... ... ... ...