A349593 - cp's OEIS frontend

A349593 Square array read by downward diagonals: for n >= 0, k >= 1, T(n,k) is the period of {binomial(N,n) mod k: N in Z}.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	4
9	1
10	1
11	4
12	3
13	4
14	1
15	1
16	5
17	8
18	9
19	8
20	1
21	1
22	6
23	5
24	8
25	9
26	8
27	1
28	1
29	7
30	12
31	5
32	16
33	9
34	8
35	1
36	1
37	8
38	7
39	36
40	5
41	16
42	9
43	8
44	1
45	1
46	9
47	16
48	7
49	72
50	25
51	16
52	9
53	16
54	1
55	1
56	10
57	9
58	16
59	7
60	72
61	25
62	16
63	9
64	16
65	1
66	1
67	11
68	20
69	27
70	32
71	7
72	72
73	25
74	32
75	27
76	16
77	1

[1, 1, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 3, 4, 1, 1, 5, 8, 9, 8, 1, 1, 6, 5, 8, 9, 8, 1, 1, 7, 12, 5, 16, 9, 8, 1, 1, 8, 7, 36, 5, 16, 9, 8, 1, 1, 9, 16, 7, 72, 25, 16, 9, 16, 1, 1, 10, 9, 16, 7, 72, 25, 16, 9, 16, 1, 1, 11, 20, 27, 32, 7, 72, 25, 32, 27, 16, 1]

cp's OEIS Frontend

A349593 Square array read by downward diagonals: for n >= 0, k >= 1, T(n,k) is the period of {binomial(N,n) mod k: N in Z}.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	4
9	1
10	1
11	4
12	3
13	4
14	1
15	1
16	5
17	8
18	9
19	8
20	1
21	1
22	6
23	5
24	8
25	9
26	8
27	1
28	1
29	7
30	12
31	5
32	16
33	9
34	8
35	1
36	1
37	8
38	7
39	36
40	5
41	16
42	9
43	8
44	1
45	1
46	9
47	16
48	7
49	72
50	25
51	16
52	9
53	16
54	1
55	1
56	10
57	9
58	16
59	7
60	72
61	25
62	16
63	9
64	16
65	1
66	1
67	11
68	20
69	27
70	32
71	7
72	72
73	25
74	32
75	27
76	16
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	4
9	1
10	1
11	4
12	3
13	4
14	1
15	1
16	5
17	8
18	9
19	8
20	1
21	1
22	6
23	5
24	8
25	9
26	8
27	1
28	1
29	7
30	12
31	5
32	16
33	9
34	8
35	1
36	1
37	8
38	7
39	36
40	5
41	16
42	9
43	8
44	1
45	1
46	9
47	16
48	7
49	72
50	25
51	16
52	9
53	16
54	1
55	1
56	10
57	9
58	16
59	7
60	72
61	25
62	16
63	9
64	16
65	1
66	1
67	11
68	20
69	27
70	32
71	7
72	72
73	25
74	32
75	27
76	16
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	4
9	1
10	1
11	4
12	3
13	4
14	1
15	1
16	5
17	8
18	9
19	8
20	1
21	1
22	6
23	5
24	8
25	9
26	8
27	1
28	1
29	7
30	12
31	5
32	16
33	9
34	8
35	1
36	1
37	8
38	7
39	36
40	5
41	16
42	9
43	8
44	1
45	1
46	9
47	16
48	7
49	72
50	25
51	16
52	9
53	16
54	1
55	1
56	10
57	9
58	16
59	7
60	72
61	25
62	16
63	9
64	16
65	1
66	1
67	11
68	20
69	27
70	32
71	7
72	72
73	25
74	32
75	27
76	16
77	1