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A232439 Number T(n,k) of standard Young tableaux with n cells and major index k; triangle T(n,k), n>=0, 0<=k<=n*(n-1)/2, read by rows.

Table of values

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

List of values

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 1, 1, 2, 4, 5, 7, 9, 9, 9, 9, 7, 5, 4, 2, 1, 1, 1, 1, 2, 4, 6, 9, 13, 16, 19, 22, 23, 23, 22, 19, 16, 13, 9, 6, 4, 2, 1, 1, 1, 1, 2, 4, 7, 10, 16, 22, 30, 37, 46, 52, 60, 62, 64, 62]