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Table 4 Josephus cycle state of each step value in experiment 4

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 the original sequence A n
Period of Josephus cycle (t)
1 1 2 3 4 5 6 7 1
2 2 4 6 1 5 3 7 6
3 3 6 2 7 5 1 4 4
4 4 1 6 5 7 3 2 10
... ... ... ... ... ... ... ... ...
421 1 2 3 4 5 6 7 1