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.

A123361 Triangle read by rows: T(n,k) = coefficient of x^k in the polynomial p[n,x] defined by p[0,x]=1, p[1,x]=1+x and p[n,x]=(1+x)(2-x)(3-x)...(n-x) for n >= 2 (0 <= k <= n).

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 1
5 -1
6 6
7 1
8 -4
9 1
10 24
11 -2
12 -17
13 8
14 -1
15 120
16 -34
17 -83
18 57
19 -13
20 1
21 720
22 -324
23 -464
24 425
25 -135
26 19
27 -1
28 5040
29 -2988
30 -2924
31 3439
32 -1370
33 268
34 -26
35 1
36 40320
37 -28944
38 -20404
39 30436
40 -14399
41 3514
42 -476
43 34
44 -1
45 362880
46 -300816
47 -154692
48 294328
49 -160027
50 46025
51 -7798
52 782
53 -43
54 1

List of values

[1, 1, 1, 2, 1, -1, 6, 1, -4, 1, 24, -2, -17, 8, -1, 120, -34, -83, 57, -13, 1, 720, -324, -464, 425, -135, 19, -1, 5040, -2988, -2924, 3439, -1370, 268, -26, 1, 40320, -28944, -20404, 30436, -14399, 3514, -476, 34, -1, 362880, -300816, -154692, 294328, -160027, 46025, -7798, 782, -43, 1]