A096597 - cp's OEIS frontend

A096597 Triangle read by rows: T[n,m] = number of plane partitions of n whose 3-dimensional Ferrers plot just fits inside an m X m X m box, i.e., with Max[parts, rows, columns] = m.

n	a(n)
1	1
2	0
3	3
4	0
5	3
6	3
7	0
8	4
9	6
10	3
11	0
12	3
13	12
14	6
15	3
16	0
17	3
18	21
19	15
20	6
21	3
22	0
23	1
24	31
25	30
26	15
27	6
28	3
29	0
30	1
31	42
32	60
33	33
34	15
35	6
36	3
37	0
38	0
39	54
40	102
41	69
42	33
43	15
44	6
45	3
46	0
47	0
48	64
49	175
50	132
51	72
52	33
53	15
54	6
55	3
56	0
57	0
58	73
59	270
60	246
61	141
62	72
63	33
64	15
65	6
66	3
67	0
68	0
69	81
70	417
71	432
72	276
73	144
74	72
75	33
76	15
77	6
78	3
79	0
80	0
81	83

[1, 0, 3, 0, 3, 3, 0, 4, 6, 3, 0, 3, 12, 6, 3, 0, 3, 21, 15, 6, 3, 0, 1, 31, 30, 15, 6, 3, 0, 1, 42, 60, 33, 15, 6, 3, 0, 0, 54, 102, 69, 33, 15, 6, 3, 0, 0, 64, 175, 132, 72, 33, 15, 6, 3, 0, 0, 73, 270, 246, 141, 72, 33, 15, 6, 3, 0, 0, 81, 417, 432, 276, 144, 72, 33, 15, 6, 3, 0, 0, 83]

cp's OEIS Frontend

A096597 Triangle read by rows: T[n,m] = number of plane partitions of n whose 3-dimensional Ferrers plot just fits inside an m X m X m box, i.e., with Max[parts, rows, columns] = m.

Table of values

List of values

n	a(n)
1	1
2	0
3	3
4	0
5	3
6	3
7	0
8	4
9	6
10	3
11	0
12	3
13	12
14	6
15	3
16	0
17	3
18	21
19	15
20	6
21	3
22	0
23	1
24	31
25	30
26	15
27	6
28	3
29	0
30	1
31	42
32	60
33	33
34	15
35	6
36	3
37	0
38	0
39	54
40	102
41	69
42	33
43	15
44	6
45	3
46	0
47	0
48	64
49	175
50	132
51	72
52	33
53	15
54	6
55	3
56	0
57	0
58	73
59	270
60	246
61	141
62	72
63	33
64	15
65	6
66	3
67	0
68	0
69	81
70	417
71	432
72	276
73	144
74	72
75	33
76	15
77	6
78	3
79	0
80	0
81	83

n	a(n)
1	1
2	0
3	3
4	0
5	3
6	3
7	0
8	4
9	6
10	3
11	0
12	3
13	12
14	6
15	3
16	0
17	3
18	21
19	15
20	6
21	3
22	0
23	1
24	31
25	30
26	15
27	6
28	3
29	0
30	1
31	42
32	60
33	33
34	15
35	6
36	3
37	0
38	0
39	54
40	102
41	69
42	33
43	15
44	6
45	3
46	0
47	0
48	64
49	175
50	132
51	72
52	33
53	15
54	6
55	3
56	0
57	0
58	73
59	270
60	246
61	141
62	72
63	33
64	15
65	6
66	3
67	0
68	0
69	81
70	417
71	432
72	276
73	144
74	72
75	33
76	15
77	6
78	3
79	0
80	0
81	83

n	a(n)
1	1
2	0
3	3
4	0
5	3
6	3
7	0
8	4
9	6
10	3
11	0
12	3
13	12
14	6
15	3
16	0
17	3
18	21
19	15
20	6
21	3
22	0
23	1
24	31
25	30
26	15
27	6
28	3
29	0
30	1
31	42
32	60
33	33
34	15
35	6
36	3
37	0
38	0
39	54
40	102
41	69
42	33
43	15
44	6
45	3
46	0
47	0
48	64
49	175
50	132
51	72
52	33
53	15
54	6
55	3
56	0
57	0
58	73
59	270
60	246
61	141
62	72
63	33
64	15
65	6
66	3
67	0
68	0
69	81
70	417
71	432
72	276
73	144
74	72
75	33
76	15
77	6
78	3
79	0
80	0
81	83