A137345 - cp's OEIS frontend

A137345 a(n) = binomial( n(n+1)/2, n) mod n.

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

[0, 1, 2, 2, 3, 0, 4, 4, 5, 0, 6, 7, 7, 0, 9, 8, 9, 0, 10, 0, 3, 0, 12, 6, 13, 13, 5, 0, 15, 4, 16, 16, 24, 0, 20, 12, 19, 0, 4, 38, 21, 0, 22, 22, 30, 0, 24, 12, 25, 25, 18, 0, 27, 0, 45, 51, 51, 0, 30, 0, 31, 0, 35, 32, 35, 0, 34, 0, 33, 10, 36, 0, 37, 0, 39, 57, 14, 0, 40, 12, 5, 0, 42, 40]

cp's OEIS Frontend

A137345 a(n) = binomial( n(n+1)/2, n) mod n.

Table of values

List of values

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

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

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