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.

A253669 Square array read by ascending antidiagonals, T(n, k) = k!*[x^k](log(x+1)*sum(j=0..n, C(2*n,j)*x^j)), n>=0, k>=0.

Table of values

n a(n)
0 0
1 0
2 1
3 0
4 1
5 -1
6 0
7 1
8 3
9 2
10 0
11 1
12 7
13 -4
14 -6
15 0
16 1
17 11
18 26
19 10
20 24
21 0
22 1
23 15
24 74
25 -46
26 -36
27 -120
28 0
29 1
30 19
31 146
32 342
33 144
34 168
35 720
36 0
37 1
38 23
39 242
40 1066
41 -756
42 -624
43 -960
44 -5040
45 0
46 1
47 27
48 362
49 2414
50 5944
51 2844
52 3408
53 6480
54 40320
55 0
56 1
57 31
58 506
59 4578
60 19524

List of values

[0, 0, 1, 0, 1, -1, 0, 1, 3, 2, 0, 1, 7, -4, -6, 0, 1, 11, 26, 10, 24, 0, 1, 15, 74, -46, -36, -120, 0, 1, 19, 146, 342, 144, 168, 720, 0, 1, 23, 242, 1066, -756, -624, -960, -5040, 0, 1, 27, 362, 2414, 5944, 2844, 3408, 6480, 40320, 0, 1, 31, 506, 4578, 19524]