A054995 - cp's OEIS frontend

A054995 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 two places clockwise from i. Repeat, counting two places from the next undeleted integer, until only one integer remains.

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

[1, 2, 2, 1, 4, 1, 4, 7, 1, 4, 7, 10, 13, 2, 5, 8, 11, 14, 17, 20, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 1, 4, 7, 10, 13, 16, 19, 22, 25]

cp's OEIS Frontend

Table of values

List of values

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

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

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