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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.

A111516 Triangle G(n,k) read by rows: number of order-preserving partial transformations (of an n-element totally ordered set) of waist k (waist(alpha) = max(Im(alpha))).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 3
5 4
6 1
7 7
8 12
9 18
10 1
11 15
12 32
13 56
14 88
15 1
16 31
17 80
18 160
19 280
20 450
21 1
22 63
23 192
24 432
25 832
26 1452
27 2364
28 1
29 127
30 448
31 1120
32 2352
33 4424
34 7700
35 12642
36 1
37 255
38 1024
39 2816
40 6400
41 12896
42 23872
43 41456
44 68464
45 1
46 511
47 2304
48 6912
49 16896
50 36288
51 71136
52 130176
53 225648
54 374274

List of values

[1, 1, 1, 1, 3, 4, 1, 7, 12, 18, 1, 15, 32, 56, 88, 1, 31, 80, 160, 280, 450, 1, 63, 192, 432, 832, 1452, 2364, 1, 127, 448, 1120, 2352, 4424, 7700, 12642, 1, 255, 1024, 2816, 6400, 12896, 23872, 41456, 68464, 1, 511, 2304, 6912, 16896, 36288, 71136, 130176, 225648, 374274]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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