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.

A271700 Triangle read by rows, T(n,k) = Sum_{j=0..n} (-1)^(n-j)*C(-j-1,-n-1)*S1(k,j), S1 the Stirling cycle numbers A132393, for n>=0 and 0<=k<=n.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 2
5 3
6 1
7 3
8 6
9 16
10 1
11 4
12 10
13 30
14 115
15 1
16 5
17 15
18 50
19 205
20 1021
21 1
22 6
23 21
24 77
25 336
26 1750
27 10696
28 1
29 7
30 28
31 112
32 518
33 2814
34 17766
35 128472
36 1
37 8
38 36
39 156
40 762
41 4308
42 28050
43 207942
44 1734447
45 1
46 9
47 45
48 210
49 1080
50 6342
51 42528
52 322860
53 2746815
54 25937683

List of values

[1, 1, 1, 1, 2, 3, 1, 3, 6, 16, 1, 4, 10, 30, 115, 1, 5, 15, 50, 205, 1021, 1, 6, 21, 77, 336, 1750, 10696, 1, 7, 28, 112, 518, 2814, 17766, 128472, 1, 8, 36, 156, 762, 4308, 28050, 207942, 1734447, 1, 9, 45, 210, 1080, 6342, 42528, 322860, 2746815, 25937683]