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A069008 Let M denote the 6 X 6 matrix with rows /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) = z(n).

Table of values

n a(n)
0 1
1 4
2 18
3 74
4 309
5 1280
6 5313
7 22035
8 91410
9 379171
10 1572857
11 6524375
12 27063881
13 112264055
14 465684247
15 1931711700
16 8012962189
17 33238687760
18 137877896315
19 571933356551
20 2372445281505
21 9841175633650
22 40822327332150
23 169335704473650
24 702423959724591

List of values

[1, 4, 18, 74, 309, 1280, 5313, 22035, 91410, 379171, 1572857, 6524375, 27063881, 112264055, 465684247, 1931711700, 8012962189, 33238687760, 137877896315, 571933356551, 2372445281505, 9841175633650, 40822327332150, 169335704473650, 702423959724591]