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.

A380179 Triangle T(n,k) read by rows: T(n,k) = -binomial(n+1,k) + Sum_{i=0..k} Sum_{j=0..i+1} (i+1)^(n-i+j)*(-1)^(k-i)/(j!*(k-i)!) for 0 <= k <= n.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 5
5 1
6 1
7 14
8 14
9 1
10 1
11 33
12 68
13 30
14 1
15 1
16 72
17 257
18 218
19 55
20 1
21 1
22 151
23 873
24 1189
25 553
26 91
27 1
28 1
29 310
30 2812
31 5734
32 4094
33 1204
34 140
35 1
36 1
37 629
38 8802
39 25916
40 26484
41 11598
42 2352
43 204
44 1
45 1
46 1268
47 27107
48 112718
49 158840
50 96702
51 28566
52 4236
53 285
54 1

List of values

[1, 1, 1, 1, 5, 1, 1, 14, 14, 1, 1, 33, 68, 30, 1, 1, 72, 257, 218, 55, 1, 1, 151, 873, 1189, 553, 91, 1, 1, 310, 2812, 5734, 4094, 1204, 140, 1, 1, 629, 8802, 25916, 26484, 11598, 2352, 204, 1, 1, 1268, 27107, 112718, 158840, 96702, 28566, 4236, 285, 1]