Number of n X 2 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero.

A230825

Number of n X 2 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero.

Terms

    a(0) =0a(1) =2a(2) =2a(3) =6a(4) =16a(5) =44a(6) =124a(7) =354a(8) =1020a(9) =2956a(10) =8598a(11) =25066a(12) =73180a(13) =213838a(14) =625196a(15) =1828502a(16) =5348922a(17) =15649258a(18) =45788486a(19) =133980160a(20) =392046972a(21) =1147212852a(22) =3357028498a(23) =9823567212a(24) =28746526324a(25) =84120672526a(26) =246161907322a(27) =720343138052

External references