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A070778 Let M denote the 6 X 6 matrix = row by row /1,1,1,1,1,1/1,1,1,1,1,0/1,1,1,1,0,0/1,1,1,0,0,0/1,1,0,0,0,0/1,0,0,0,0,0/ and A(n) the vector (x(n),y(n),z(n),t(n),u(n),v(n)) = M^n*A where A is the vector (1,1,1,1,1,1); then a(n) = u(n).

Table of values

n a(n)
0 1
1 2
2 11
3 41
4 176
5 721
6 3003
7 12439
8 51623
9 214103
10 888173
11 3684174
12 15282475
13 63393324
14 262962987
15 1090800411
16 4524765831
17 18769248040
18 77856998326
19 322959774150
20 1339674254489
21 5557122741105
22 23051583675890
23 95620617831960
24 396645310086831
25 1645330322871807

List of values

[1, 2, 11, 41, 176, 721, 3003, 12439, 51623, 214103, 888173, 3684174, 15282475, 63393324, 262962987, 1090800411, 4524765831, 18769248040, 77856998326, 322959774150, 1339674254489, 5557122741105, 23051583675890, 95620617831960, 396645310086831, 1645330322871807]