T(n,k)=Number of nXk 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs).

A233202

T(n,k)=Number of nXk 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =3a(5) =3a(6) =11a(7) =36a(8) =36a(9) =11a(10) =48a(11) =528a(12) =1440a(13) =528a(14) =48a(15) =236a(16) =8256a(17) =62720a(18) =62720a(19) =8256a(20) =236a(21) =1248a(22) =131328a(23) =2779136a(24) =7802880a(25) =2779136a(26) =131328a(27) =1248a(28) =6896a(29) =2098176

External references