A317872 - cp's OEIS frontend

A317872 a(n) is the number of times that binomial(n+m, m) mod m = 1, for 0 < m <= n.

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	3
10	2
11	2
12	1
13	1
14	0
15	0
16	2
17	2
18	1
19	1
20	3
21	2
22	0
23	0
24	1
25	2
26	2
27	4
28	4
29	4
30	0
31	0
32	3
33	4
34	1
35	1
36	3
37	3
38	1
39	0
40	1
41	1
42	2
43	2
44	1
45	2
46	1
47	1
48	2
49	4
50	2
51	2
52	4
53	4
54	6
55	4
56	3
57	2
58	2
59	2
60	1
61	1
62	0
63	1
64	7
65	6
66	1
67	1
68	1
69	1
70	1
71	1
72	3
73	3
74	2
75	2
76	2
77	2
78	1
79	1
80	3
81	7
82	4
83	4
84	4
85	4
86	0
87	1
88	2
89	2
90	2
91	2
92	2
93	1
94	0
95	0
96	3
97	3
98	3
99	4
100	5
101	5
102	2
103	2
104	3
105	1

[0, 0, 0, 1, 1, 0, 0, 1, 3, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 3, 2, 0, 0, 1, 2, 2, 4, 4, 4, 0, 0, 3, 4, 1, 1, 3, 3, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 4, 2, 2, 4, 4, 6, 4, 3, 2, 2, 2, 1, 1, 0, 1, 7, 6, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 1, 1, 3, 7, 4, 4, 4, 4, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 3, 3, 3, 4, 5, 5, 2, 2, 3, 1]

cp's OEIS Frontend

A317872 a(n) is the number of times that binomial(n+m, m) mod m = 1, for 0 < m <= n.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	3
10	2
11	2
12	1
13	1
14	0
15	0
16	2
17	2
18	1
19	1
20	3
21	2
22	0
23	0
24	1
25	2
26	2
27	4
28	4
29	4
30	0
31	0
32	3
33	4
34	1
35	1
36	3
37	3
38	1
39	0
40	1
41	1
42	2
43	2
44	1
45	2
46	1
47	1
48	2
49	4
50	2
51	2
52	4
53	4
54	6
55	4
56	3
57	2
58	2
59	2
60	1
61	1
62	0
63	1
64	7
65	6
66	1
67	1
68	1
69	1
70	1
71	1
72	3
73	3
74	2
75	2
76	2
77	2
78	1
79	1
80	3
81	7
82	4
83	4
84	4
85	4
86	0
87	1
88	2
89	2
90	2
91	2
92	2
93	1
94	0
95	0
96	3
97	3
98	3
99	4
100	5
101	5
102	2
103	2
104	3
105	1

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	3
10	2
11	2
12	1
13	1
14	0
15	0
16	2
17	2
18	1
19	1
20	3
21	2
22	0
23	0
24	1
25	2
26	2
27	4
28	4
29	4
30	0
31	0
32	3
33	4
34	1
35	1
36	3
37	3
38	1
39	0
40	1
41	1
42	2
43	2
44	1
45	2
46	1
47	1
48	2
49	4
50	2
51	2
52	4
53	4
54	6
55	4
56	3
57	2
58	2
59	2
60	1
61	1
62	0
63	1
64	7
65	6
66	1
67	1
68	1
69	1
70	1
71	1
72	3
73	3
74	2
75	2
76	2
77	2
78	1
79	1
80	3
81	7
82	4
83	4
84	4
85	4
86	0
87	1
88	2
89	2
90	2
91	2
92	2
93	1
94	0
95	0
96	3
97	3
98	3
99	4
100	5
101	5
102	2
103	2
104	3
105	1

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	3
10	2
11	2
12	1
13	1
14	0
15	0
16	2
17	2
18	1
19	1
20	3
21	2
22	0
23	0
24	1
25	2
26	2
27	4
28	4
29	4
30	0
31	0
32	3
33	4
34	1
35	1
36	3
37	3
38	1
39	0
40	1
41	1
42	2
43	2
44	1
45	2
46	1
47	1
48	2
49	4
50	2
51	2
52	4
53	4
54	6
55	4
56	3
57	2
58	2
59	2
60	1
61	1
62	0
63	1
64	7
65	6
66	1
67	1
68	1
69	1
70	1
71	1
72	3
73	3
74	2
75	2
76	2
77	2
78	1
79	1
80	3
81	7
82	4
83	4
84	4
85	4
86	0
87	1
88	2
89	2
90	2
91	2
92	2
93	1
94	0
95	0
96	3
97	3
98	3
99	4
100	5
101	5
102	2
103	2
104	3
105	1