cp's OEIS Frontend

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.

A371928 T(n,k) is the total number of levels in all Dyck paths of semilength n containing exactly k path nodes; triangle T(n,k), n>=0, 1<=k<=n+1, read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 3
5 1
6 3
7 5
8 6
9 1
10 8
11 15
12 13
13 11
14 1
15 23
16 44
17 43
18 29
19 20
20 1
21 71
22 134
23 138
24 106
25 62
26 37
27 1
28 229
29 427
30 446
31 371
32 248
33 132
34 70
35 1
36 759
37 1408
38 1478
39 1275
40 941
41 571
42 283
43 135
44 1
45 2566
46 4753
47 5017
48 4410
49 3437
50 2331
51 1310
52 611
53 264
54 1
55 8817
56 16321
57 17339
58 15458
59 12426
60 9027
61 5709
62 3002
63 1324
64 521
65 1

List of values

[1, 1, 1, 1, 3, 1, 3, 5, 6, 1, 8, 15, 13, 11, 1, 23, 44, 43, 29, 20, 1, 71, 134, 138, 106, 62, 37, 1, 229, 427, 446, 371, 248, 132, 70, 1, 759, 1408, 1478, 1275, 941, 571, 283, 135, 1, 2566, 4753, 5017, 4410, 3437, 2331, 1310, 611, 264, 1, 8817, 16321, 17339, 15458, 12426, 9027, 5709, 3002, 1324, 521, 1]