A271434 - OEIS

A271434

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

%I #3 Apr 07 2016 17:10:52

%S 0,0,12,1503,114696,8913024,847131696,107419889151,19047514016106,

%T 4855914055193274,1811510852881383396

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

%C Column 3 of A271437.

%e Some solutions for n=4

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

%e ....1.0......1.1......1.1......1.0......1.1......1.1......1.1......1.0

%e ...2.1.1....1.2.1....2.1.2....1.1.2....2.1.3....2.1.3....0.1.2....1.0.1

%e ..3.3.1.3..2.2.2.0..3.3.1.1..3.3.1.1..2.3.3.0..1.2.3.2..2.2.1.2..0.0.0.2

%Y Cf. A271437.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 07 2016