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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.

A344491 a(n) = 1 + Sum_{k=0..n-4} binomial(n-3,k) * a(k).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 2
5 4
6 8
7 16
8 37
9 97
10 275
11 810
12 2468
13 7840
14 26182
15 92047
16 339029
17 1299185
18 5152244
19 21091816
20 89087652
21 388318264
22 1746324563
23 8094422821
24 38608318847
25 189179752492
26 950930369320
27 4898477508796
28 25841317224002
29 139534769647745
30 770795537345237
31 4353368099507329

List of values

[1, 1, 1, 1, 2, 4, 8, 16, 37, 97, 275, 810, 2468, 7840, 26182, 92047, 339029, 1299185, 5152244, 21091816, 89087652, 388318264, 1746324563, 8094422821, 38608318847, 189179752492, 950930369320, 4898477508796, 25841317224002, 139534769647745, 770795537345237, 4353368099507329]