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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.

A176566 Triangle T(n, k) = binomial(n*(n+1)/2 + k, k), read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 2
5 3
6 1
7 4
8 10
9 20
10 1
11 7
12 28
13 84
14 210
15 1
16 11
17 66
18 286
19 1001
20 3003
21 1
22 16
23 136
24 816
25 3876
26 15504
27 54264
28 1
29 22
30 253
31 2024
32 12650
33 65780
34 296010
35 1184040
36 1
37 29
38 435
39 4495
40 35960
41 237336
42 1344904
43 6724520
44 30260340
45 1
46 37
47 703
48 9139
49 91390
50 749398
51 5245786
52 32224114
53 177232627
54 886163135

List of values

[1, 1, 1, 1, 2, 3, 1, 4, 10, 20, 1, 7, 28, 84, 210, 1, 11, 66, 286, 1001, 3003, 1, 16, 136, 816, 3876, 15504, 54264, 1, 22, 253, 2024, 12650, 65780, 296010, 1184040, 1, 29, 435, 4495, 35960, 237336, 1344904, 6724520, 30260340, 1, 37, 703, 9139, 91390, 749398, 5245786, 32224114, 177232627, 886163135]