A212137 - cp's OEIS frontend

A212137 Triangular array: T(n,k) is the number of k-element subsets of {1,...,n} whose average is not an integer.

n	a(n)
1	0
2	0
3	1
4	0
5	2
6	0
7	0
8	4
9	2
10	1
11	0
12	6
13	6
14	4
15	0
16	0
17	9
18	12
19	11
20	4
21	1
22	0
23	12
24	22
25	26
26	16
27	6
28	0
29	0
30	16
31	36
32	52
33	44
34	24
35	6
36	1
37	0
38	20
39	54
40	94
41	100
42	70
43	30
44	8
45	0
46	0
47	25
48	78
49	156
50	200
51	176
52	102
53	39
54	8
55	1
56	0
57	30
58	108
59	246
60	368
61	386
62	282
63	144
64	48
65	10
66	0
67	0
68	36
69	144
70	369
71	632
72	772
73	678
74	431
75	194
76	60
77	10
78	1

[0, 0, 1, 0, 2, 0, 0, 4, 2, 1, 0, 6, 6, 4, 0, 0, 9, 12, 11, 4, 1, 0, 12, 22, 26, 16, 6, 0, 0, 16, 36, 52, 44, 24, 6, 1, 0, 20, 54, 94, 100, 70, 30, 8, 0, 0, 25, 78, 156, 200, 176, 102, 39, 8, 1, 0, 30, 108, 246, 368, 386, 282, 144, 48, 10, 0, 0, 36, 144, 369, 632, 772, 678, 431, 194, 60, 10, 1]

cp's OEIS Frontend

A212137 Triangular array: T(n,k) is the number of k-element subsets of {1,...,n} whose average is not an integer.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	2
6	0
7	0
8	4
9	2
10	1
11	0
12	6
13	6
14	4
15	0
16	0
17	9
18	12
19	11
20	4
21	1
22	0
23	12
24	22
25	26
26	16
27	6
28	0
29	0
30	16
31	36
32	52
33	44
34	24
35	6
36	1
37	0
38	20
39	54
40	94
41	100
42	70
43	30
44	8
45	0
46	0
47	25
48	78
49	156
50	200
51	176
52	102
53	39
54	8
55	1
56	0
57	30
58	108
59	246
60	368
61	386
62	282
63	144
64	48
65	10
66	0
67	0
68	36
69	144
70	369
71	632
72	772
73	678
74	431
75	194
76	60
77	10
78	1

n	a(n)
1	0
2	0
3	1
4	0
5	2
6	0
7	0
8	4
9	2
10	1
11	0
12	6
13	6
14	4
15	0
16	0
17	9
18	12
19	11
20	4
21	1
22	0
23	12
24	22
25	26
26	16
27	6
28	0
29	0
30	16
31	36
32	52
33	44
34	24
35	6
36	1
37	0
38	20
39	54
40	94
41	100
42	70
43	30
44	8
45	0
46	0
47	25
48	78
49	156
50	200
51	176
52	102
53	39
54	8
55	1
56	0
57	30
58	108
59	246
60	368
61	386
62	282
63	144
64	48
65	10
66	0
67	0
68	36
69	144
70	369
71	632
72	772
73	678
74	431
75	194
76	60
77	10
78	1

n	a(n)
1	0
2	0
3	1
4	0
5	2
6	0
7	0
8	4
9	2
10	1
11	0
12	6
13	6
14	4
15	0
16	0
17	9
18	12
19	11
20	4
21	1
22	0
23	12
24	22
25	26
26	16
27	6
28	0
29	0
30	16
31	36
32	52
33	44
34	24
35	6
36	1
37	0
38	20
39	54
40	94
41	100
42	70
43	30
44	8
45	0
46	0
47	25
48	78
49	156
50	200
51	176
52	102
53	39
54	8
55	1
56	0
57	30
58	108
59	246
60	368
61	386
62	282
63	144
64	48
65	10
66	0
67	0
68	36
69	144
70	369
71	632
72	772
73	678
74	431
75	194
76	60
77	10
78	1