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.

A379458 Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + 2*(k+1)!*Sum_{j=0..k} A(n-1,j)/j! with A(0,k) = 1, n >= 0, k >= 0.

Table of values

n a(n)
0 1
1 1
2 3
3 1
4 9
5 15
6 1
7 31
8 79
9 109
10 1
11 129
12 459
13 835
14 1053
15 1
16 651
17 3003
18 6885
19 10661
20 12767
21 1
22 3913
23 22183
24 61735
25 114373
26 161229
27 186763
28 1
29 27399
30 183975
31 603565
32 1307997
33 2134803
34 2830787
35 3204313
36 1
37 219201
38 1698819
39 6424059
40 15981869
41 29753069
42 44649839
43 56720039
44 63128665

List of values

[1, 1, 3, 1, 9, 15, 1, 31, 79, 109, 1, 129, 459, 835, 1053, 1, 651, 3003, 6885, 10661, 12767, 1, 3913, 22183, 61735, 114373, 161229, 186763, 1, 27399, 183975, 603565, 1307997, 2134803, 2830787, 3204313, 1, 219201, 1698819, 6424059, 15981869, 29753069, 44649839, 56720039, 63128665]