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A069007 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) = y(n).

Table of values

n a(n)
0 1
1 5
2 20
3 85
4 350
5 1456
6 6034
7 25038
8 103849
9 430794
10 1786960
11 7412548
12 30748055
13 127546530
14 529077571
15 2194674687
16 9103762600
17 37763453591
18 156647144355
19 649790354877
20 2695405055655
21 11180849888139
22 46379450073255

List of values

[1, 5, 20, 85, 350, 1456, 6034, 25038, 103849, 430794, 1786960, 7412548, 30748055, 127546530, 529077571, 2194674687, 9103762600, 37763453591, 156647144355, 649790354877, 2695405055655, 11180849888139, 46379450073255]