A187800 - cp's OEIS frontend

A187800 Number T(n,k,r,u) of dissections of an n X k X r rectangular cuboid on a unit cubic grid into integer-sided cubes containing u nodes that are unconnected to any of their neighbors; irregular triangle T(n,k,r,u), n >= k >= r >= 1, u >= 0 read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	4
13	1
14	8
15	0
16	0
17	0
18	0
19	0
20	0
21	1
22	1
23	1
24	1
25	3
26	1
27	1
28	1
29	6
30	4
31	1
32	12
33	16
34	0
35	0
36	0
37	0
38	0
39	2
40	1
41	1
42	9
43	16
44	8
45	1
46	1
47	18
48	64
49	64
50	16
51	0
52	0
53	0
54	4
55	1
56	27
57	193
58	544
59	707
60	454
61	142
62	20
63	9
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	0
80	0
81	0
82	1

[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 1, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 6, 4, 1, 12, 16, 0, 0, 0, 0, 0, 2, 1, 1, 9, 16, 8, 1, 1, 18, 64, 64, 16, 0, 0, 0, 4, 1, 27, 193, 544, 707, 454, 142, 20, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A187800 Number T(n,k,r,u) of dissections of an n X k X r rectangular cuboid on a unit cubic grid into integer-sided cubes containing u nodes that are unconnected to any of their neighbors; irregular triangle T(n,k,r,u), n >= k >= r >= 1, u >= 0 read by rows.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	4
13	1
14	8
15	0
16	0
17	0
18	0
19	0
20	0
21	1
22	1
23	1
24	1
25	3
26	1
27	1
28	1
29	6
30	4
31	1
32	12
33	16
34	0
35	0
36	0
37	0
38	0
39	2
40	1
41	1
42	9
43	16
44	8
45	1
46	1
47	18
48	64
49	64
50	16
51	0
52	0
53	0
54	4
55	1
56	27
57	193
58	544
59	707
60	454
61	142
62	20
63	9
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	0
80	0
81	0
82	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	4
13	1
14	8
15	0
16	0
17	0
18	0
19	0
20	0
21	1
22	1
23	1
24	1
25	3
26	1
27	1
28	1
29	6
30	4
31	1
32	12
33	16
34	0
35	0
36	0
37	0
38	0
39	2
40	1
41	1
42	9
43	16
44	8
45	1
46	1
47	18
48	64
49	64
50	16
51	0
52	0
53	0
54	4
55	1
56	27
57	193
58	544
59	707
60	454
61	142
62	20
63	9
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	0
80	0
81	0
82	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	4
13	1
14	8
15	0
16	0
17	0
18	0
19	0
20	0
21	1
22	1
23	1
24	1
25	3
26	1
27	1
28	1
29	6
30	4
31	1
32	12
33	16
34	0
35	0
36	0
37	0
38	0
39	2
40	1
41	1
42	9
43	16
44	8
45	1
46	1
47	18
48	64
49	64
50	16
51	0
52	0
53	0
54	4
55	1
56	27
57	193
58	544
59	707
60	454
61	142
62	20
63	9
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	0
80	0
81	0
82	1