T(n,k)=Number of nXnXn triangular 0..k arrays with new values introduced in sequential zero-upwards order and exactly one 2x2x2 triangle having values all different.

A271141

T(n,k)=Number of nXnXn triangular 0..k arrays with new values introduced in sequential zero-upwards order and exactly one 2x2x2 triangle having values all different.

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =0a(6) =0a(7) =1a(8) =44a(9) =0a(10) =0a(11) =1a(12) =56a(13) =2529a(14) =0a(15) =0a(16) =1a(17) =56a(18) =4560a(19) =239700a(20) =0a(21) =0a(22) =1a(23) =56a(24) =4890a(25) =625280a(26) =41288768a(27) =0a(28) =0a(29) =1

External references