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.

A275784 Number A(n,k) of up-down sequences with k copies each of 1,2,...,n; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 1
7 0
8 1
9 1
10 1
11 0
12 1
13 2
14 1
15 1
16 0
17 1
18 4
19 5
20 1
21 1
22 0
23 1
24 12
25 53
26 16
27 1
28 1
29 0
30 1
31 36
32 761
33 936
34 61
35 1
36 1
37 0
38 1
39 120
40 12661
41 87336
42 25325
43 272
44 1
45 1
46 0
47 1
48 400
49 229705
50 9929000
51 18528505
52 933980
53 1385
54 1
55 1
56 0
57 1
58 1400
59 4410665
60 1267945800
61 17504311533
62 6376563600
63 45504649
64 7936
65 1

List of values

[1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 4, 5, 1, 1, 0, 1, 12, 53, 16, 1, 1, 0, 1, 36, 761, 936, 61, 1, 1, 0, 1, 120, 12661, 87336, 25325, 272, 1, 1, 0, 1, 400, 229705, 9929000, 18528505, 933980, 1385, 1, 1, 0, 1, 1400, 4410665, 1267945800, 17504311533, 6376563600, 45504649, 7936, 1]