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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.

A344490 a(n) = 1 + Sum_{k=0..n-3} binomial(n-2,k) * a(k).

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 4
5 8
6 20
7 57
8 171
9 548
10 1894
11 6998
12 27368
13 112653
14 486645
15 2201162
16 10397944
17 51161168
18 261571460
19 1386846249
20 7612315023
21 43190917004
22 252951090586
23 1527112817054
24 9492126182336
25 60677428545165
26 398489257136529
27 2686088269505042
28 18567557376240748

List of values

[1, 1, 1, 2, 4, 8, 20, 57, 171, 548, 1894, 6998, 27368, 112653, 486645, 2201162, 10397944, 51161168, 261571460, 1386846249, 7612315023, 43190917004, 252951090586, 1527112817054, 9492126182336, 60677428545165, 398489257136529, 2686088269505042, 18567557376240748]