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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.

A351971 a(0) = 1; a(n) = Sum_{k=0..floor(n/4)} binomial(n,4*k) * a(k).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 2
5 6
6 16
7 36
8 72
9 136
10 256
11 496
12 992
13 2016
14 4096
15 8256
16 16513
17 32913
18 65689
19 131785
20 266482
21 544230
22 1124344
23 2352188
24 4984968
25 10699656
26 23244976
27 51072256
28 113370112
29 253930816
30 573005056
31 1300390016
32 2962852353
33 6766967329
34 15472840497

List of values

[1, 1, 1, 1, 2, 6, 16, 36, 72, 136, 256, 496, 992, 2016, 4096, 8256, 16513, 32913, 65689, 131785, 266482, 544230, 1124344, 2352188, 4984968, 10699656, 23244976, 51072256, 113370112, 253930816, 573005056, 1300390016, 2962852353, 6766967329, 15472840497]

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