A088333 - cp's OEIS frontend

A088333 A version of 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 3 places clockwise from i. Repeat, counting 3 places from the next undeleted integer, until only one integer remains.

n	a(n)
1	1
2	1
3	2
4	2
5	1
6	5
7	2
8	6
9	1
10	5
11	9
12	1
13	5
14	9
15	13
16	1
17	5
18	9
19	13
20	17
21	21
22	3
23	7
24	11
25	15
26	19
27	23
28	27
29	2
30	6
31	10
32	14
33	18
34	22
35	26
36	30
37	34
38	38
39	3
40	7
41	11
42	15
43	19
44	23
45	27
46	31
47	35
48	39
49	43
50	47
51	51
52	3
53	7
54	11
55	15
56	19
57	23
58	27
59	31
60	35
61	39
62	43
63	47
64	51
65	55
66	59
67	63
68	67
69	2
70	6
71	10
72	14
73	18
74	22
75	26
76	30
77	34
78	38
79	42

[1, 1, 2, 2, 1, 5, 2, 6, 1, 5, 9, 1, 5, 9, 13, 1, 5, 9, 13, 17, 21, 3, 7, 11, 15, 19, 23, 27, 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	2
5	1
6	5
7	2
8	6
9	1
10	5
11	9
12	1
13	5
14	9
15	13
16	1
17	5
18	9
19	13
20	17
21	21
22	3
23	7
24	11
25	15
26	19
27	23
28	27
29	2
30	6
31	10
32	14
33	18
34	22
35	26
36	30
37	34
38	38
39	3
40	7
41	11
42	15
43	19
44	23
45	27
46	31
47	35
48	39
49	43
50	47
51	51
52	3
53	7
54	11
55	15
56	19
57	23
58	27
59	31
60	35
61	39
62	43
63	47
64	51
65	55
66	59
67	63
68	67
69	2
70	6
71	10
72	14
73	18
74	22
75	26
76	30
77	34
78	38
79	42

n	a(n)
1	1
2	1
3	2
4	2
5	1
6	5
7	2
8	6
9	1
10	5
11	9
12	1
13	5
14	9
15	13
16	1
17	5
18	9
19	13
20	17
21	21
22	3
23	7
24	11
25	15
26	19
27	23
28	27
29	2
30	6
31	10
32	14
33	18
34	22
35	26
36	30
37	34
38	38
39	3
40	7
41	11
42	15
43	19
44	23
45	27
46	31
47	35
48	39
49	43
50	47
51	51
52	3
53	7
54	11
55	15
56	19
57	23
58	27
59	31
60	35
61	39
62	43
63	47
64	51
65	55
66	59
67	63
68	67
69	2
70	6
71	10
72	14
73	18
74	22
75	26
76	30
77	34
78	38
79	42

n	a(n)
1	1
2	1
3	2
4	2
5	1
6	5
7	2
8	6
9	1
10	5
11	9
12	1
13	5
14	9
15	13
16	1
17	5
18	9
19	13
20	17
21	21
22	3
23	7
24	11
25	15
26	19
27	23
28	27
29	2
30	6
31	10
32	14
33	18
34	22
35	26
36	30
37	34
38	38
39	3
40	7
41	11
42	15
43	19
44	23
45	27
46	31
47	35
48	39
49	43
50	47
51	51
52	3
53	7
54	11
55	15
56	19
57	23
58	27
59	31
60	35
61	39
62	43
63	47
64	51
65	55
66	59
67	63
68	67
69	2
70	6
71	10
72	14
73	18
74	22
75	26
76	30
77	34
78	38
79	42