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.

A343807 T(n, k) = [x^k] n! [t^n] 1/(exp((V*(2 - 2*t + V))/(4*t))*sqrt(1 + V)) where V = W(-2*t*x) and W denotes the Lambert function. Table read by rows, T(n, k) for 0 <= k <= n.

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 2
5 2
6 1
7 6
8 18
9 32
10 1
11 12
12 72
13 280
14 636
15 1
16 20
17 200
18 1320
19 6060
20 15744
21 1
22 30
23 450
24 4480
25 32460
26 166536
27 470680
28 1
29 42
30 882
31 12320
32 127260
33 996408
34 5526136
35 16542336
36 1
37 56
38 1568
39 29232
40 405720
41 4384800
42 36529920
43 214436160
44 669165840

List of values

[1, 1, 0, 1, 2, 2, 1, 6, 18, 32, 1, 12, 72, 280, 636, 1, 20, 200, 1320, 6060, 15744, 1, 30, 450, 4480, 32460, 166536, 470680, 1, 42, 882, 12320, 127260, 996408, 5526136, 16542336, 1, 56, 1568, 29232, 405720, 4384800, 36529920, 214436160, 669165840]