A255982 - cp's OEIS frontend

A255982 Number T(n,k) of partitions of the k-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes, such that each axis is used at least once; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	4
6	0
7	5
8	29
9	30
10	0
11	14
12	184
13	486
14	336
15	0
16	42
17	1148
18	5880
19	9744
20	5040
21	0
22	132
23	7228
24	64464
25	192984
26	230400
27	95040
28	0
29	429
30	46224
31	679195
32	3279060
33	6792750
34	6308280
35	2162160
36	0
37	1430
38	300476
39	7043814
40	51622600
41	165293700
42	259518600
43	196756560
44	57657600

[1, 0, 1, 0, 2, 4, 0, 5, 29, 30, 0, 14, 184, 486, 336, 0, 42, 1148, 5880, 9744, 5040, 0, 132, 7228, 64464, 192984, 230400, 95040, 0, 429, 46224, 679195, 3279060, 6792750, 6308280, 2162160, 0, 1430, 300476, 7043814, 51622600, 165293700, 259518600, 196756560, 57657600]

cp's OEIS Frontend

A255982 Number T(n,k) of partitions of the k-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes, such that each axis is used at least once; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values