A360268 - cp's OEIS frontend

A360268 A version of the Josephus problem: a(n) is the surviving integer under the following elimination process. Arrange 1,2,3,...,n in a circle, increasing clockwise. Starting with i=1, delete the integer 5 places clockwise from i. Repeat, counting 5 places from the next undeleted integer, until only one integer remains.

n	a(n)
1	1
2	1
3	1
4	3
5	4
6	4
7	3
8	1
9	7
10	3
11	9
12	3
13	9
14	1
15	7
16	13
17	2
18	8
19	14
20	20
21	5
22	11
23	17
24	23
25	4
26	10
27	16
28	22
29	28
30	4
31	10
32	16
33	22
34	28
35	34
36	4
37	10
38	16
39	22
40	28
41	34
42	40
43	3
44	9
45	15
46	21
47	27
48	33
49	39
50	45
51	51
52	5
53	11
54	17
55	23
56	29
57	35
58	41
59	47
60	53
61	59
62	3
63	9
64	15
65	21
66	27
67	33
68	39
69	45
70	51
71	57
72	63
73	69
74	1
75	7
76	13
77	19
78	25

[1, 1, 1, 3, 4, 4, 3, 1, 7, 3, 9, 3, 9, 1, 7, 13, 2, 8, 14, 20, 5, 11, 17, 23, 4, 10, 16, 22, 28, 4, 10, 16, 22, 28, 34, 4, 10, 16, 22, 28, 34, 40, 3, 9, 15, 21, 27, 33, 39, 45, 51, 5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 1, 7, 13, 19, 25]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	3
5	4
6	4
7	3
8	1
9	7
10	3
11	9
12	3
13	9
14	1
15	7
16	13
17	2
18	8
19	14
20	20
21	5
22	11
23	17
24	23
25	4
26	10
27	16
28	22
29	28
30	4
31	10
32	16
33	22
34	28
35	34
36	4
37	10
38	16
39	22
40	28
41	34
42	40
43	3
44	9
45	15
46	21
47	27
48	33
49	39
50	45
51	51
52	5
53	11
54	17
55	23
56	29
57	35
58	41
59	47
60	53
61	59
62	3
63	9
64	15
65	21
66	27
67	33
68	39
69	45
70	51
71	57
72	63
73	69
74	1
75	7
76	13
77	19
78	25

n	a(n)
1	1
2	1
3	1
4	3
5	4
6	4
7	3
8	1
9	7
10	3
11	9
12	3
13	9
14	1
15	7
16	13
17	2
18	8
19	14
20	20
21	5
22	11
23	17
24	23
25	4
26	10
27	16
28	22
29	28
30	4
31	10
32	16
33	22
34	28
35	34
36	4
37	10
38	16
39	22
40	28
41	34
42	40
43	3
44	9
45	15
46	21
47	27
48	33
49	39
50	45
51	51
52	5
53	11
54	17
55	23
56	29
57	35
58	41
59	47
60	53
61	59
62	3
63	9
64	15
65	21
66	27
67	33
68	39
69	45
70	51
71	57
72	63
73	69
74	1
75	7
76	13
77	19
78	25

n	a(n)
1	1
2	1
3	1
4	3
5	4
6	4
7	3
8	1
9	7
10	3
11	9
12	3
13	9
14	1
15	7
16	13
17	2
18	8
19	14
20	20
21	5
22	11
23	17
24	23
25	4
26	10
27	16
28	22
29	28
30	4
31	10
32	16
33	22
34	28
35	34
36	4
37	10
38	16
39	22
40	28
41	34
42	40
43	3
44	9
45	15
46	21
47	27
48	33
49	39
50	45
51	51
52	5
53	11
54	17
55	23
56	29
57	35
58	41
59	47
60	53
61	59
62	3
63	9
64	15
65	21
66	27
67	33
68	39
69	45
70	51
71	57
72	63
73	69
74	1
75	7
76	13
77	19
78	25