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.

A247497 Triangle read by rows, T(n,k) (n>=0, 0<=k<=n) coefficients of the partial fraction decomposition of rational functions generating the columns of A247495 (the Motzkin polynomials evaluated at nonnegative integers).

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 3
5 2
6 4
7 10
8 12
9 6
10 9
11 33
12 62
13 60
14 24
15 21
16 111
17 300
18 450
19 360
20 120
21 51
22 378
23 1412
24 3000
25 3720
26 2520
27 720
28 127
29 1303
30 6552
31 18816
32 32760
33 34440
34 20160
35 5040
36 323
37 4539
38 30186
39 113820
40 264264
41 388080
42 352800
43 181440
44 40320

List of values

[1, 1, 1, 2, 3, 2, 4, 10, 12, 6, 9, 33, 62, 60, 24, 21, 111, 300, 450, 360, 120, 51, 378, 1412, 3000, 3720, 2520, 720, 127, 1303, 6552, 18816, 32760, 34440, 20160, 5040, 323, 4539, 30186, 113820, 264264, 388080, 352800, 181440, 40320]