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.

A144815 Numerators of triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the coefficient of x^(2k+1) in polynomial t_n(x), used to define continuous and n times differentiable sigmoidal transfer functions.

Table of values

n a(n)
0 1
1 3
2 -1
3 15
4 -5
5 3
6 35
7 -35
8 21
9 -5
10 315
11 -105
12 189
13 -45
14 35
15 693
16 -1155
17 693
18 -495
19 385
20 -63
21 3003
22 -3003
23 9009
24 -2145
25 5005
26 -819
27 231
28 6435
29 -15015
30 27027
31 -32175
32 25025
33 -12285
34 3465
35 -429
36 109395
37 -36465
38 153153
39 -109395
40 425425
41 -69615
42 58905
43 -7293
44 6435

List of values

[1, 3, -1, 15, -5, 3, 35, -35, 21, -5, 315, -105, 189, -45, 35, 693, -1155, 693, -495, 385, -63, 3003, -3003, 9009, -2145, 5005, -819, 231, 6435, -15015, 27027, -32175, 25025, -12285, 3465, -429, 109395, -36465, 153153, -109395, 425425, -69615, 58905, -7293, 6435]