A159916 - cp's OEIS frontend

A159916 Triangle T(m,n) = number of subsets of {1,...,m} with n elements having an odd sum, 1 <= n <= m.

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	0
7	2
8	4
9	2
10	0
11	3
12	6
13	4
14	2
15	1
16	3
17	9
18	10
19	6
20	3
21	1
22	4
23	12
24	16
25	16
26	12
27	4
28	0
29	4
30	16
31	28
32	32
33	28
34	16
35	4
36	0
37	5
38	20
39	40
40	60
41	66
42	44
43	16
44	4
45	1
46	5
47	25
48	60
49	100
50	126
51	110
52	60
53	20
54	5
55	1
56	6
57	30
58	80
59	160
60	236
61	236
62	160
63	80
64	30
65	6
66	0
67	6
68	36
69	110
70	240
71	396
72	472
73	396
74	240
75	110
76	36
77	6
78	0

[1, 1, 1, 2, 2, 0, 2, 4, 2, 0, 3, 6, 4, 2, 1, 3, 9, 10, 6, 3, 1, 4, 12, 16, 16, 12, 4, 0, 4, 16, 28, 32, 28, 16, 4, 0, 5, 20, 40, 60, 66, 44, 16, 4, 1, 5, 25, 60, 100, 126, 110, 60, 20, 5, 1, 6, 30, 80, 160, 236, 236, 160, 80, 30, 6, 0, 6, 36, 110, 240, 396, 472, 396, 240, 110, 36, 6, 0]

cp's OEIS Frontend

A159916 Triangle T(m,n) = number of subsets of {1,...,m} with n elements having an odd sum, 1 <= n <= m.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	0
7	2
8	4
9	2
10	0
11	3
12	6
13	4
14	2
15	1
16	3
17	9
18	10
19	6
20	3
21	1
22	4
23	12
24	16
25	16
26	12
27	4
28	0
29	4
30	16
31	28
32	32
33	28
34	16
35	4
36	0
37	5
38	20
39	40
40	60
41	66
42	44
43	16
44	4
45	1
46	5
47	25
48	60
49	100
50	126
51	110
52	60
53	20
54	5
55	1
56	6
57	30
58	80
59	160
60	236
61	236
62	160
63	80
64	30
65	6
66	0
67	6
68	36
69	110
70	240
71	396
72	472
73	396
74	240
75	110
76	36
77	6
78	0

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	0
7	2
8	4
9	2
10	0
11	3
12	6
13	4
14	2
15	1
16	3
17	9
18	10
19	6
20	3
21	1
22	4
23	12
24	16
25	16
26	12
27	4
28	0
29	4
30	16
31	28
32	32
33	28
34	16
35	4
36	0
37	5
38	20
39	40
40	60
41	66
42	44
43	16
44	4
45	1
46	5
47	25
48	60
49	100
50	126
51	110
52	60
53	20
54	5
55	1
56	6
57	30
58	80
59	160
60	236
61	236
62	160
63	80
64	30
65	6
66	0
67	6
68	36
69	110
70	240
71	396
72	472
73	396
74	240
75	110
76	36
77	6
78	0

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	0
7	2
8	4
9	2
10	0
11	3
12	6
13	4
14	2
15	1
16	3
17	9
18	10
19	6
20	3
21	1
22	4
23	12
24	16
25	16
26	12
27	4
28	0
29	4
30	16
31	28
32	32
33	28
34	16
35	4
36	0
37	5
38	20
39	40
40	60
41	66
42	44
43	16
44	4
45	1
46	5
47	25
48	60
49	100
50	126
51	110
52	60
53	20
54	5
55	1
56	6
57	30
58	80
59	160
60	236
61	236
62	160
63	80
64	30
65	6
66	0
67	6
68	36
69	110
70	240
71	396
72	472
73	396
74	240
75	110
76	36
77	6
78	0