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A069009 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) = t(n).

Table of values

n a(n)
0 1
1 3
2 15
3 59
4 250
5 1030
6 4283
7 17752
8 73658
9 305513
10 1267344
11 5257031
12 21806850
13 90457205
14 375227042
15 1556484658
16 6456477531
17 26782210229
18 111095686086
19 460837670465
20 1911607611040
21 7929568022610
22 32892759309540

List of values

[1, 3, 15, 59, 250, 1030, 4283, 17752, 73658, 305513, 1267344, 5257031, 21806850, 90457205, 375227042, 1556484658, 6456477531, 26782210229, 111095686086, 460837670465, 1911607611040, 7929568022610, 32892759309540]