A287416 - cp's OEIS frontend

A287416 Number T(n,k) of set partitions of [n] such that the maximal value of all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows.

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	3
6	2
7	0
8	4
9	8
10	3
11	0
12	5
13	22
14	19
15	6
16	0
17	6
18	52
19	81
20	48
21	16
22	0
23	7
24	114
25	289
26	267
27	147
28	53
29	0
30	8
31	240
32	941
33	1250
34	968
35	529
36	204
37	0
38	9
39	494
40	2894
41	5310
42	5469
43	3919
44	2174
45	878
46	0
47	10
48	1004
49	8601
50	21256
51	28083
52	25326
53	17593
54	9961
55	4141

[1, 1, 0, 2, 0, 3, 2, 0, 4, 8, 3, 0, 5, 22, 19, 6, 0, 6, 52, 81, 48, 16, 0, 7, 114, 289, 267, 147, 53, 0, 8, 240, 941, 1250, 968, 529, 204, 0, 9, 494, 2894, 5310, 5469, 3919, 2174, 878, 0, 10, 1004, 8601, 21256, 28083, 25326, 17593, 9961, 4141]

cp's OEIS Frontend

A287416 Number T(n,k) of set partitions of [n] such that the maximal value of all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows.

Table of values

List of values