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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.

A214407 Triangle read by rows. The coefficients in ascending order of x^i of the polynomials p{0}(x) = 1 and p{n}(x) = Sum_{k=0..n-1; k even} binomial(n, k) * p{k}(0)*(1 - n%2 + x^(n - k)).

Table of values

n a(n)
0 1
1 0
2 1
3 1
4 0
5 1
6 0
7 3
8 0
9 1
10 7
11 0
12 6
13 0
14 1
15 0
16 35
17 0
18 10
19 0
20 1
21 121
22 0
23 105
24 0
25 15
26 0
27 1
28 0
29 847
30 0
31 245
32 0
33 21
34 0
35 1
36 3907
37 0
38 3388
39 0
40 490
41 0
42 28
43 0
44 1
45 0
46 35163
47 0
48 10164
49 0
50 882
51 0
52 36
53 0
54 1
55 202741
56 0
57 175815
58 0
59 25410
60 0
61 1470
62 0
63 45
64 0
65 1
66 0

List of values

[1, 0, 1, 1, 0, 1, 0, 3, 0, 1, 7, 0, 6, 0, 1, 0, 35, 0, 10, 0, 1, 121, 0, 105, 0, 15, 0, 1, 0, 847, 0, 245, 0, 21, 0, 1, 3907, 0, 3388, 0, 490, 0, 28, 0, 1, 0, 35163, 0, 10164, 0, 882, 0, 36, 0, 1, 202741, 0, 175815, 0, 25410, 0, 1470, 0, 45, 0, 1, 0]