A357217 - cp's OEIS frontend

A357217 Array read by descending antidiagonals: T(n,k) is the number of cycles of the permutation given by the order of elimination in the Josephus problem for n numbers and a count of k; n, k >= 1.

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	1
8	2
9	2
10	4
11	1
12	1
13	1
14	2
15	5
16	1
17	2
18	2
19	2
20	1
21	6
22	1
23	1
24	1
25	2
26	1
27	1
28	7
29	1
30	2
31	2
32	2
33	1
34	2
35	4
36	8
37	1
38	1
39	3
40	2
41	3
42	3
43	3
44	2
45	9
46	1
47	2
48	2
49	2
50	3
51	2
52	2
53	2
54	1
55	10
56	1
57	1
58	1
59	2
60	1
61	3
62	3
63	2
64	3
65	5
66	11
67	1
68	2
69	2
70	2
71	3
72	2
73	2
74	4
75	5
76	2
77	2
78	12
79	1
80	1
81	1
82	2
83	3
84	1
85	3
86	2
87	3
88	1
89	3
90	2
91	13

[1, 1, 2, 1, 1, 3, 1, 2, 2, 4, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 6, 1, 1, 1, 2, 1, 1, 7, 1, 2, 2, 2, 1, 2, 4, 8, 1, 1, 3, 2, 3, 3, 3, 2, 9, 1, 2, 2, 2, 3, 2, 2, 2, 1, 10, 1, 1, 1, 2, 1, 3, 3, 2, 3, 5, 11, 1, 2, 2, 2, 3, 2, 2, 4, 5, 2, 2, 12, 1, 1, 1, 2, 3, 1, 3, 2, 3, 1, 3, 2, 13]

cp's OEIS Frontend

A357217 Array read by descending antidiagonals: T(n,k) is the number of cycles of the permutation given by the order of elimination in the Josephus problem for n numbers and a count of k; n, k >= 1.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	1
8	2
9	2
10	4
11	1
12	1
13	1
14	2
15	5
16	1
17	2
18	2
19	2
20	1
21	6
22	1
23	1
24	1
25	2
26	1
27	1
28	7
29	1
30	2
31	2
32	2
33	1
34	2
35	4
36	8
37	1
38	1
39	3
40	2
41	3
42	3
43	3
44	2
45	9
46	1
47	2
48	2
49	2
50	3
51	2
52	2
53	2
54	1
55	10
56	1
57	1
58	1
59	2
60	1
61	3
62	3
63	2
64	3
65	5
66	11
67	1
68	2
69	2
70	2
71	3
72	2
73	2
74	4
75	5
76	2
77	2
78	12
79	1
80	1
81	1
82	2
83	3
84	1
85	3
86	2
87	3
88	1
89	3
90	2
91	13

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	1
8	2
9	2
10	4
11	1
12	1
13	1
14	2
15	5
16	1
17	2
18	2
19	2
20	1
21	6
22	1
23	1
24	1
25	2
26	1
27	1
28	7
29	1
30	2
31	2
32	2
33	1
34	2
35	4
36	8
37	1
38	1
39	3
40	2
41	3
42	3
43	3
44	2
45	9
46	1
47	2
48	2
49	2
50	3
51	2
52	2
53	2
54	1
55	10
56	1
57	1
58	1
59	2
60	1
61	3
62	3
63	2
64	3
65	5
66	11
67	1
68	2
69	2
70	2
71	3
72	2
73	2
74	4
75	5
76	2
77	2
78	12
79	1
80	1
81	1
82	2
83	3
84	1
85	3
86	2
87	3
88	1
89	3
90	2
91	13

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	1
8	2
9	2
10	4
11	1
12	1
13	1
14	2
15	5
16	1
17	2
18	2
19	2
20	1
21	6
22	1
23	1
24	1
25	2
26	1
27	1
28	7
29	1
30	2
31	2
32	2
33	1
34	2
35	4
36	8
37	1
38	1
39	3
40	2
41	3
42	3
43	3
44	2
45	9
46	1
47	2
48	2
49	2
50	3
51	2
52	2
53	2
54	1
55	10
56	1
57	1
58	1
59	2
60	1
61	3
62	3
63	2
64	3
65	5
66	11
67	1
68	2
69	2
70	2
71	3
72	2
73	2
74	4
75	5
76	2
77	2
78	12
79	1
80	1
81	1
82	2
83	3
84	1
85	3
86	2
87	3
88	1
89	3
90	2
91	13