login
Number of nXnXn triangular 0..3 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all different.
0

%I #3 Apr 01 2016 12:35:23

%S 0,1,72,9168,2507552,1585190304,2396160624384,8827783282714112,

%T 80206114652132017152,1811240213474630551305216,

%U 102217269778272804094166401024

%N Number of nXnXn triangular 0..3 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all different.

%C Column 3 of A271194.

%e Some solutions for n=4

%e .....0........0........0........0........0........0........0........0

%e ....0.0......0.1......1.2......1.0......0.0......1.2......1.0......0.1

%e ...0.0.0....2.3.3....1.2.1....2.3.0....1.0.2....1.2.0....2.1.2....1.0.2

%e ..1.2.2.2..2.2.3.2..0.1.1.2..2.3.2.0..1.2.3.3..2.2.0.1..1.2.1.2..3.1.0.0

%Y Cf. A271194.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 01 2016