A274537 - cp's OEIS frontend

A274537 Number T(n,k) of set partitions of [n] into k blocks such that each element is contained in a block whose index parity coincides with the parity of the element; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	0
8	1
9	1
10	0
11	0
12	1
13	1
14	1
15	0
16	0
17	1
18	3
19	2
20	1
21	0
22	0
23	1
24	3
25	7
26	2
27	1
28	0
29	0
30	1
31	7
32	14
33	13
34	3
35	1
36	0
37	0
38	1
39	7
40	35
41	26
42	22
43	3
44	1
45	0
46	0
47	1
48	15
49	70
50	113
51	66
52	34
53	4
54	1
55	0
56	0
57	1
58	15
59	155
60	226
61	311
62	102
63	50
64	4
65	1
66	0
67	0
68	1
69	31
70	310
71	833
72	933
73	719
74	200
75	70
76	5
77	1

[1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 3, 2, 1, 0, 0, 1, 3, 7, 2, 1, 0, 0, 1, 7, 14, 13, 3, 1, 0, 0, 1, 7, 35, 26, 22, 3, 1, 0, 0, 1, 15, 70, 113, 66, 34, 4, 1, 0, 0, 1, 15, 155, 226, 311, 102, 50, 4, 1, 0, 0, 1, 31, 310, 833, 933, 719, 200, 70, 5, 1]

cp's OEIS Frontend

A274537 Number T(n,k) of set partitions of [n] into k blocks such that each element is contained in a block whose index parity coincides with the parity of the element; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	0
8	1
9	1
10	0
11	0
12	1
13	1
14	1
15	0
16	0
17	1
18	3
19	2
20	1
21	0
22	0
23	1
24	3
25	7
26	2
27	1
28	0
29	0
30	1
31	7
32	14
33	13
34	3
35	1
36	0
37	0
38	1
39	7
40	35
41	26
42	22
43	3
44	1
45	0
46	0
47	1
48	15
49	70
50	113
51	66
52	34
53	4
54	1
55	0
56	0
57	1
58	15
59	155
60	226
61	311
62	102
63	50
64	4
65	1
66	0
67	0
68	1
69	31
70	310
71	833
72	933
73	719
74	200
75	70
76	5
77	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	0
8	1
9	1
10	0
11	0
12	1
13	1
14	1
15	0
16	0
17	1
18	3
19	2
20	1
21	0
22	0
23	1
24	3
25	7
26	2
27	1
28	0
29	0
30	1
31	7
32	14
33	13
34	3
35	1
36	0
37	0
38	1
39	7
40	35
41	26
42	22
43	3
44	1
45	0
46	0
47	1
48	15
49	70
50	113
51	66
52	34
53	4
54	1
55	0
56	0
57	1
58	15
59	155
60	226
61	311
62	102
63	50
64	4
65	1
66	0
67	0
68	1
69	31
70	310
71	833
72	933
73	719
74	200
75	70
76	5
77	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	0
8	1
9	1
10	0
11	0
12	1
13	1
14	1
15	0
16	0
17	1
18	3
19	2
20	1
21	0
22	0
23	1
24	3
25	7
26	2
27	1
28	0
29	0
30	1
31	7
32	14
33	13
34	3
35	1
36	0
37	0
38	1
39	7
40	35
41	26
42	22
43	3
44	1
45	0
46	0
47	1
48	15
49	70
50	113
51	66
52	34
53	4
54	1
55	0
56	0
57	1
58	15
59	155
60	226
61	311
62	102
63	50
64	4
65	1
66	0
67	0
68	1
69	31
70	310
71	833
72	933
73	719
74	200
75	70
76	5
77	1