A287215 - cp's OEIS frontend

A287215 Number T(n,k) of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive 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	1
3	1
4	1
5	3
6	1
7	1
8	8
9	5
10	1
11	1
12	22
13	21
14	7
15	1
16	1
17	65
18	86
19	39
20	11
21	1
22	1
23	209
24	361
25	209
26	77
27	19
28	1
29	1
30	732
31	1584
32	1123
33	493
34	171
35	35
36	1
37	1
38	2780
39	7315
40	6153
41	3124
42	1293
43	413
44	67
45	1
46	1
47	11377
48	35635
49	34723
50	20019
51	9320
52	3709
53	1059
54	131
55	1
56	1
57	49863
58	183080
59	202852
60	130916
61	66992
62	30396
63	11373
64	2837
65	259
66	1

[1, 1, 1, 1, 1, 3, 1, 1, 8, 5, 1, 1, 22, 21, 7, 1, 1, 65, 86, 39, 11, 1, 1, 209, 361, 209, 77, 19, 1, 1, 732, 1584, 1123, 493, 171, 35, 1, 1, 2780, 7315, 6153, 3124, 1293, 413, 67, 1, 1, 11377, 35635, 34723, 20019, 9320, 3709, 1059, 131, 1, 1, 49863, 183080, 202852, 130916, 66992, 30396, 11373, 2837, 259, 1]

cp's OEIS Frontend

A287215 Number T(n,k) of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows.

Table of values

List of values