A237018 - cp's OEIS frontend

A237018 Number A(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; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	2
9	0
10	1
11	3
12	8
13	5
14	0
15	1
16	4
17	18
18	39
19	14
20	0
21	1
22	5
23	32
24	132
25	212
26	42
27	0
28	1
29	6
30	50
31	314
32	1080
33	1232
34	132
35	0
36	1
37	7
38	72
39	615
40	3440
41	9450
42	7492
43	429
44	0
45	1
46	8
47	98
48	1065
49	8450
50	40320
51	86544
52	47082
53	1430
54	0
55	1
56	9
57	128
58	1694
59	17604
60	124250
61	494736
62	819154
63	303336
64	4862
65	0

[1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 8, 5, 0, 1, 4, 18, 39, 14, 0, 1, 5, 32, 132, 212, 42, 0, 1, 6, 50, 314, 1080, 1232, 132, 0, 1, 7, 72, 615, 3440, 9450, 7492, 429, 0, 1, 8, 98, 1065, 8450, 40320, 86544, 47082, 1430, 0, 1, 9, 128, 1694, 17604, 124250, 494736, 819154, 303336, 4862, 0]

cp's OEIS Frontend

A237018 Number A(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; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values