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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.

A176120 Triangle read by rows: Sum_{j=0..k} binomial(n, j)*binomial(k, j)*j!.

Table of values

n a(n)
0 1
1 1
2 2
3 1
4 3
5 7
6 1
7 4
8 13
9 34
10 1
11 5
12 21
13 73
14 209
15 1
16 6
17 31
18 136
19 501
20 1546
21 1
22 7
23 43
24 229
25 1045
26 4051
27 13327
28 1
29 8
30 57
31 358
32 1961
33 9276
34 37633
35 130922
36 1
37 9
38 73
39 529
40 3393
41 19081
42 93289
43 394353
44 1441729
45 1
46 10
47 91
48 748
49 5509
50 36046
51 207775
52 1047376
53 4596553
54 17572114

List of values

[1, 1, 2, 1, 3, 7, 1, 4, 13, 34, 1, 5, 21, 73, 209, 1, 6, 31, 136, 501, 1546, 1, 7, 43, 229, 1045, 4051, 13327, 1, 8, 57, 358, 1961, 9276, 37633, 130922, 1, 9, 73, 529, 3393, 19081, 93289, 394353, 1441729, 1, 10, 91, 748, 5509, 36046, 207775, 1047376, 4596553, 17572114]