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 equal and exactly one upright 2x2x2 triangle having values all different.
0

%I #3 Apr 09 2016 07:28:39

%S 0,0,12,2961,948561,526617762,562292792592,1216012764422331,

%T 5487274513266786993,52651038343578804040698,

%U 1087983884115200260451577219

%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 equal and exactly one upright 2x2x2 triangle having values all different.

%C Column 3 of A271517.

%e Some solutions for n=4

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

%e ....1.0......1.2......0.0......1.1......0.0......1.1......1.2......1.1

%e ...0.0.1....3.1.1....0.1.2....1.1.2....1.2.0....2.2.0....2.1.1....2.2.1

%e ..2.0.0.2..3.3.1.2..0.1.3.2..1.3.3.1..1.2.1.1..2.2.3.0..1.2.1.1..0.0.1.1

%Y Cf. A271517.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 09 2016