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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A219274 Number T(n,k) of standard Young tableaux for partitions of n into distinct parts with largest part k; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 1
5 3
6 5
7 16
8 1
9 4
10 9
11 49
12 70
13 168
14 768
15 1
16 5
17 14
18 92
19 204
20 738
21 3300
22 7887
23 15015
24 48048
25 292864
26 1
27 6
28 20
29 153
30 405
31 1815
32 9460
33 28743
34 101673
35 333905
36 1946516
37 4934930
38 14454726
39 34918884
40 141892608
41 1100742656
42 1
43 7
44 27
45 235
46 715
47 3630
48 21307

List of values

[1, 1, 1, 2, 1, 3, 5, 16, 1, 4, 9, 49, 70, 168, 768, 1, 5, 14, 92, 204, 738, 3300, 7887, 15015, 48048, 292864, 1, 6, 20, 153, 405, 1815, 9460, 28743, 101673, 333905, 1946516, 4934930, 14454726, 34918884, 141892608, 1100742656, 1, 7, 27, 235, 715, 3630, 21307]