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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.

A344493 a(n) = 1 + Sum_{k=0..n-6} binomial(n-5,k) * a(k).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 2
7 4
8 8
9 16
10 32
11 64
12 135
13 308
14 767
15 2059
16 5821
17 16963
18 50312
19 151189
20 460981
21 1433634
22 4578748
23 15110212
24 51704075
25 183423444
26 672385222
27 2534056116
28 9768179743
29 38357842713
30 153070136072
31 620275332697
32 2553688944713
33 10696223834397
34 45654239302087

List of values

[1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 135, 308, 767, 2059, 5821, 16963, 50312, 151189, 460981, 1433634, 4578748, 15110212, 51704075, 183423444, 672385222, 2534056116, 9768179743, 38357842713, 153070136072, 620275332697, 2553688944713, 10696223834397, 45654239302087]