A287213 - cp's OEIS frontend

A287213 Number T(n,k) of set partitions of [n] such that the maximal absolute difference between consecutive elements within a block 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	7
9	5
10	2
11	1
12	15
13	18
14	13
15	5
16	1
17	31
18	57
19	61
20	38
21	15
22	1
23	63
24	169
25	248
26	215
27	129
28	52
29	1
30	127
31	482
32	935
33	1061
34	836
35	495
36	203
37	1
38	255
39	1341
40	3368
41	4835
42	4789
43	3573
44	2108
45	877
46	1
47	511
48	3669
49	11777
50	20973
51	25430
52	22986
53	16657
54	9831
55	4140

[1, 1, 1, 1, 1, 3, 1, 1, 7, 5, 2, 1, 15, 18, 13, 5, 1, 31, 57, 61, 38, 15, 1, 63, 169, 248, 215, 129, 52, 1, 127, 482, 935, 1061, 836, 495, 203, 1, 255, 1341, 3368, 4835, 4789, 3573, 2108, 877, 1, 511, 3669, 11777, 20973, 25430, 22986, 16657, 9831, 4140]

cp's OEIS Frontend

A287213 Number T(n,k) of set partitions of [n] such that the maximal absolute difference between consecutive elements within a block equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows.

Table of values

List of values