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).

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).

Terms

    a(0) =1a(1) =2a(2) =11a(3) =41a(4) =176a(5) =721a(6) =3003a(7) =12439a(8) =51623a(9) =214103a(10) =888173a(11) =3684174a(12) =15282475a(13) =63393324a(14) =262962987a(15) =1090800411a(16) =4524765831a(17) =18769248040a(18) =77856998326a(19) =322959774150

External references