A361802 - cp's OEIS frontend

A361802 Irregular triangle read by rows where T(n,k) is the number of k-subsets of {-n+1,...,n} with sum 0, for k = 1,...,2n-1.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	2
9	1
10	1
11	3
12	6
13	7
14	5
15	2
16	1
17	1
18	4
19	10
20	16
21	18
22	14
23	8
24	3
25	1
26	1
27	5
28	15
29	31
30	46
31	51
32	43
33	27
34	12
35	3
36	1
37	1
38	6
39	21
40	53
41	98
42	139
43	155
44	134
45	88
46	43
47	16
48	4
49	1
50	1
51	7
52	28
53	83
54	184
55	319
56	441
57	486
58	424
59	293
60	161
61	68
62	21
63	4
64	1

[1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 3, 6, 7, 5, 2, 1, 1, 4, 10, 16, 18, 14, 8, 3, 1, 1, 5, 15, 31, 46, 51, 43, 27, 12, 3, 1, 1, 6, 21, 53, 98, 139, 155, 134, 88, 43, 16, 4, 1, 1, 7, 28, 83, 184, 319, 441, 486, 424, 293, 161, 68, 21, 4, 1]

cp's OEIS Frontend

A361802 Irregular triangle read by rows where T(n,k) is the number of k-subsets of {-n+1,...,n} with sum 0, for k = 1,...,2n-1.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	2
9	1
10	1
11	3
12	6
13	7
14	5
15	2
16	1
17	1
18	4
19	10
20	16
21	18
22	14
23	8
24	3
25	1
26	1
27	5
28	15
29	31
30	46
31	51
32	43
33	27
34	12
35	3
36	1
37	1
38	6
39	21
40	53
41	98
42	139
43	155
44	134
45	88
46	43
47	16
48	4
49	1
50	1
51	7
52	28
53	83
54	184
55	319
56	441
57	486
58	424
59	293
60	161
61	68
62	21
63	4
64	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	2
9	1
10	1
11	3
12	6
13	7
14	5
15	2
16	1
17	1
18	4
19	10
20	16
21	18
22	14
23	8
24	3
25	1
26	1
27	5
28	15
29	31
30	46
31	51
32	43
33	27
34	12
35	3
36	1
37	1
38	6
39	21
40	53
41	98
42	139
43	155
44	134
45	88
46	43
47	16
48	4
49	1
50	1
51	7
52	28
53	83
54	184
55	319
56	441
57	486
58	424
59	293
60	161
61	68
62	21
63	4
64	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	2
9	1
10	1
11	3
12	6
13	7
14	5
15	2
16	1
17	1
18	4
19	10
20	16
21	18
22	14
23	8
24	3
25	1
26	1
27	5
28	15
29	31
30	46
31	51
32	43
33	27
34	12
35	3
36	1
37	1
38	6
39	21
40	53
41	98
42	139
43	155
44	134
45	88
46	43
47	16
48	4
49	1
50	1
51	7
52	28
53	83
54	184
55	319
56	441
57	486
58	424
59	293
60	161
61	68
62	21
63	4
64	1