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.

A349971 Array read by ascending antidiagonals, A(n, k) = -(-n)^k*FallingFactorial(1/n, k) for n, k >= 1.

Table of values

n a(n)
1 1
2 1
3 0
4 1
5 1
6 0
7 1
8 2
9 3
10 0
11 1
12 3
13 10
14 15
15 0
16 1
17 4
18 21
19 80
20 105
21 0
22 1
23 5
24 36
25 231
26 880
27 945
28 0
29 1
30 6
31 55
32 504
33 3465
34 12320
35 10395
36 0
37 1
38 7
39 78
40 935
41 9576
42 65835
43 209440
44 135135
45 0
46 1
47 8
48 105
49 1560
50 21505
51 229824
52 1514205
53 4188800
54 2027025
55 0

List of values

[1, 1, 0, 1, 1, 0, 1, 2, 3, 0, 1, 3, 10, 15, 0, 1, 4, 21, 80, 105, 0, 1, 5, 36, 231, 880, 945, 0, 1, 6, 55, 504, 3465, 12320, 10395, 0, 1, 7, 78, 935, 9576, 65835, 209440, 135135, 0, 1, 8, 105, 1560, 21505, 229824, 1514205, 4188800, 2027025, 0]