A138785 - cp's OEIS frontend

A138785 Triangle read by rows: T(n,k) is the number of hook lengths equal to k among all hook lengths of all partitions of n (1 <= k <= n).

n	a(n)
1	1
2	2
3	2
4	4
5	2
6	3
7	7
8	6
9	3
10	4
11	12
12	8
13	6
14	4
15	5
16	19
17	16
18	12
19	8
20	5
21	6
22	30
23	22
24	18
25	12
26	10
27	6
28	7
29	45
30	38
31	27
32	24
33	15
34	12
35	7
36	8
37	67
38	52
39	45
40	32
41	25
42	18
43	14
44	8
45	9
46	97
47	82
48	63
49	52
50	40
51	30
52	21
53	16
54	9
55	10
56	139
57	112
58	93
59	72
60	60
61	42
62	35
63	24
64	18
65	10
66	11
67	195
68	166
69	135
70	112
71	85
72	72
73	49
74	40
75	27
76	20
77	11
78	12

[1, 2, 2, 4, 2, 3, 7, 6, 3, 4, 12, 8, 6, 4, 5, 19, 16, 12, 8, 5, 6, 30, 22, 18, 12, 10, 6, 7, 45, 38, 27, 24, 15, 12, 7, 8, 67, 52, 45, 32, 25, 18, 14, 8, 9, 97, 82, 63, 52, 40, 30, 21, 16, 9, 10, 139, 112, 93, 72, 60, 42, 35, 24, 18, 10, 11, 195, 166, 135, 112, 85, 72, 49, 40, 27, 20, 11, 12]

cp's OEIS Frontend

A138785 Triangle read by rows: T(n,k) is the number of hook lengths equal to k among all hook lengths of all partitions of n (1 <= k <= n).

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	4
5	2
6	3
7	7
8	6
9	3
10	4
11	12
12	8
13	6
14	4
15	5
16	19
17	16
18	12
19	8
20	5
21	6
22	30
23	22
24	18
25	12
26	10
27	6
28	7
29	45
30	38
31	27
32	24
33	15
34	12
35	7
36	8
37	67
38	52
39	45
40	32
41	25
42	18
43	14
44	8
45	9
46	97
47	82
48	63
49	52
50	40
51	30
52	21
53	16
54	9
55	10
56	139
57	112
58	93
59	72
60	60
61	42
62	35
63	24
64	18
65	10
66	11
67	195
68	166
69	135
70	112
71	85
72	72
73	49
74	40
75	27
76	20
77	11
78	12

n	a(n)
1	1
2	2
3	2
4	4
5	2
6	3
7	7
8	6
9	3
10	4
11	12
12	8
13	6
14	4
15	5
16	19
17	16
18	12
19	8
20	5
21	6
22	30
23	22
24	18
25	12
26	10
27	6
28	7
29	45
30	38
31	27
32	24
33	15
34	12
35	7
36	8
37	67
38	52
39	45
40	32
41	25
42	18
43	14
44	8
45	9
46	97
47	82
48	63
49	52
50	40
51	30
52	21
53	16
54	9
55	10
56	139
57	112
58	93
59	72
60	60
61	42
62	35
63	24
64	18
65	10
66	11
67	195
68	166
69	135
70	112
71	85
72	72
73	49
74	40
75	27
76	20
77	11
78	12

n	a(n)
1	1
2	2
3	2
4	4
5	2
6	3
7	7
8	6
9	3
10	4
11	12
12	8
13	6
14	4
15	5
16	19
17	16
18	12
19	8
20	5
21	6
22	30
23	22
24	18
25	12
26	10
27	6
28	7
29	45
30	38
31	27
32	24
33	15
34	12
35	7
36	8
37	67
38	52
39	45
40	32
41	25
42	18
43	14
44	8
45	9
46	97
47	82
48	63
49	52
50	40
51	30
52	21
53	16
54	9
55	10
56	139
57	112
58	93
59	72
60	60
61	42
62	35
63	24
64	18
65	10
66	11
67	195
68	166
69	135
70	112
71	85
72	72
73	49
74	40
75	27
76	20
77	11
78	12