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.

A269940 Triangle read by rows, T(n, k) = Sum_{m=0..k} (-1)^(m + k)*binomial(n + k, n + m) * |Stirling1(n + m, m)|, for n >= 0, 0 <= k <= n.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 2
5 3
6 0
7 6
8 20
9 15
10 0
11 24
12 130
13 210
14 105
15 0
16 120
17 924
18 2380
19 2520
20 945
21 0
22 720
23 7308
24 26432
25 44100
26 34650
27 10395
28 0
29 5040
30 64224
31 303660
32 705320
33 866250
34 540540
35 135135
36 0
37 40320
38 623376
39 3678840
40 11098780
41 18858840
42 18288270
43 9459450
44 2027025

List of values

[1, 0, 1, 0, 2, 3, 0, 6, 20, 15, 0, 24, 130, 210, 105, 0, 120, 924, 2380, 2520, 945, 0, 720, 7308, 26432, 44100, 34650, 10395, 0, 5040, 64224, 303660, 705320, 866250, 540540, 135135, 0, 40320, 623376, 3678840, 11098780, 18858840, 18288270, 9459450, 2027025]