A226651 - cp's OEIS frontend

A226651 Multidimensional Young numbers: Given a d-dimensional partition of n, this is the number of ways to fill the associated d-dimensional Young diagram with the integers 1 to n such that the entries are increasing in each positive (orthogonal) direction.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	3
7	2
8	6
9	1
10	4
11	5
12	6
13	12
14	8
15	24
16	1
17	5
18	9
19	10
20	5
21	16
22	20
23	25
24	30
25	20
26	16
27	60
28	40
29	120
30	1
31	6
32	14
33	15
34	14
35	25
36	20
37	21
38	30
39	54
40	60
41	30
42	96
43	40
44	66
45	61
46	75
47	90
48	48
49	120
50	150
51	180
52	120
53	96
54	80
55	360
56	240
57	720
58	1
59	7
60	20
61	21
62	28
63	64
64	35
65	14
66	70
67	56
68	90
69	42
70	42
71	98
72	105
73	98
74	245
75	140
76	147

[1, 1, 1, 2, 1, 3, 2, 6, 1, 4, 5, 6, 12, 8, 24, 1, 5, 9, 10, 5, 16, 20, 25, 30, 20, 16, 60, 40, 120, 1, 6, 14, 15, 14, 25, 20, 21, 30, 54, 60, 30, 96, 40, 66, 61, 75, 90, 48, 120, 150, 180, 120, 96, 80, 360, 240, 720, 1, 7, 20, 21, 28, 64, 35, 14, 70, 56, 90, 42, 42, 98, 105, 98, 245, 140, 147]

cp's OEIS Frontend

A226651 Multidimensional Young numbers: Given a d-dimensional partition of n, this is the number of ways to fill the associated d-dimensional Young diagram with the integers 1 to n such that the entries are increasing in each positive (orthogonal) direction.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	3
7	2
8	6
9	1
10	4
11	5
12	6
13	12
14	8
15	24
16	1
17	5
18	9
19	10
20	5
21	16
22	20
23	25
24	30
25	20
26	16
27	60
28	40
29	120
30	1
31	6
32	14
33	15
34	14
35	25
36	20
37	21
38	30
39	54
40	60
41	30
42	96
43	40
44	66
45	61
46	75
47	90
48	48
49	120
50	150
51	180
52	120
53	96
54	80
55	360
56	240
57	720
58	1
59	7
60	20
61	21
62	28
63	64
64	35
65	14
66	70
67	56
68	90
69	42
70	42
71	98
72	105
73	98
74	245
75	140
76	147

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	3
7	2
8	6
9	1
10	4
11	5
12	6
13	12
14	8
15	24
16	1
17	5
18	9
19	10
20	5
21	16
22	20
23	25
24	30
25	20
26	16
27	60
28	40
29	120
30	1
31	6
32	14
33	15
34	14
35	25
36	20
37	21
38	30
39	54
40	60
41	30
42	96
43	40
44	66
45	61
46	75
47	90
48	48
49	120
50	150
51	180
52	120
53	96
54	80
55	360
56	240
57	720
58	1
59	7
60	20
61	21
62	28
63	64
64	35
65	14
66	70
67	56
68	90
69	42
70	42
71	98
72	105
73	98
74	245
75	140
76	147

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	3
7	2
8	6
9	1
10	4
11	5
12	6
13	12
14	8
15	24
16	1
17	5
18	9
19	10
20	5
21	16
22	20
23	25
24	30
25	20
26	16
27	60
28	40
29	120
30	1
31	6
32	14
33	15
34	14
35	25
36	20
37	21
38	30
39	54
40	60
41	30
42	96
43	40
44	66
45	61
46	75
47	90
48	48
49	120
50	150
51	180
52	120
53	96
54	80
55	360
56	240
57	720
58	1
59	7
60	20
61	21
62	28
63	64
64	35
65	14
66	70
67	56
68	90
69	42
70	42
71	98
72	105
73	98
74	245
75	140
76	147