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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.

A344489 a(n) = 1 + Sum_{k=0..n-2} binomial(n-1,k) * a(k).

Table of values

n a(n)
0 1
1 1
2 2
3 4
4 11
5 34
6 122
7 487
8 2144
9 10276
10 53165
11 294760
12 1740950
13 10899841
14 72033470
15 500664496
16 3648211139
17 27792215302
18 220802394110
19 1825428024367
20 15672798590804
21 139499676115312
22 1285109772354941
23 12235037442987028
24 120220980122266010
25 1217655627762149857

List of values

[1, 1, 2, 4, 11, 34, 122, 487, 2144, 10276, 53165, 294760, 1740950, 10899841, 72033470, 500664496, 3648211139, 27792215302, 220802394110, 1825428024367, 15672798590804, 139499676115312, 1285109772354941, 12235037442987028, 120220980122266010, 1217655627762149857]