A274581 - cp's OEIS frontend

A274581 Number T(n,k) of set partitions of [n] with alternating parity of elements and exactly k blocks; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	1
10	0
11	1
12	3
13	3
14	1
15	0
16	1
17	5
18	7
19	4
20	1
21	0
22	1
23	7
24	14
25	12
26	5
27	1
28	0
29	1
30	11
31	30
32	33
33	19
34	6
35	1
36	0
37	1
38	15
39	57
40	84
41	62
42	27
43	7
44	1
45	0
46	1
47	23
48	119
49	222
50	204
51	108
52	37
53	8
54	1
55	0
56	1
57	31
58	224
59	545
60	627
61	409
62	169
63	48
64	9
65	1
66	0
67	1
68	47
69	460
70	1425
71	2006
72	1558
73	763
74	254
75	61
76	10
77	1

[1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 1, 0, 1, 5, 7, 4, 1, 0, 1, 7, 14, 12, 5, 1, 0, 1, 11, 30, 33, 19, 6, 1, 0, 1, 15, 57, 84, 62, 27, 7, 1, 0, 1, 23, 119, 222, 204, 108, 37, 8, 1, 0, 1, 31, 224, 545, 627, 409, 169, 48, 9, 1, 0, 1, 47, 460, 1425, 2006, 1558, 763, 254, 61, 10, 1]

cp's OEIS Frontend

A274581 Number T(n,k) of set partitions of [n] with alternating parity of elements and exactly k blocks; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values