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%I #4 Apr 07 2016 17:12:41
%S 0,0,0,0,0,0,0,0,12,0,0,0,12,864,0,0,0,12,1503,41328,0,0,0,12,1620,
%T 114696,2009952,0,0,0,12,1629,148392,8913024,116220672,0,0,0,12,1629,
%U 153984,14979216,847131696,8608449792,0,0,0,12,1629,154296,16992846
%N 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 equal and exactly one 2x2x2 triangle having values all different.
%C Table starts
%C .0............0..............0...............0...............0............0
%C .0............0..............0...............0...............0............0
%C .0...........12.............12..............12..............12...........12
%C .0..........864...........1503............1620............1629.........1629
%C .0........41328.........114696..........148392..........153984.......154296
%C .0......2009952........8913024........14979216........16992846.....17274768
%C .0....116220672......847131696......1978392960......2653292322...2838637584
%C .0...8608449792...107419889151....370450049664....639869193777.771905775765
%C .0.850781715456.19047514016106.102638643985920.247683857110080
%H R. H. Hardin, <a href="/A271437/b271437.txt">Table of n, a(n) for n = 1..99</a>
%e Some solutions for n=4 k=4
%e .....0........0........0........0........0........0........0........0
%e ....1.2......1.0......1.2......1.0......1.1......1.2......1.1......1.2
%e ...2.2.1....2.0.2....1.1.2....1.0.0....0.1.2....1.2.0....2.2.2....2.2.3
%e ..1.2.1.3..1.2.2.2..1.2.2.0..1.0.2.3..2.0.1.3..2.2.0.0..0.2.1.3..0.2.3.0
%K nonn,tabl
%O 1,9
%A _R. H. Hardin_, Apr 07 2016