A271407 - OEIS

A271407

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

%I #4 Apr 06 2016 10:00:15

%S 0,0,0,0,0,8,0,0,14,216,0,0,15,2592,6048,0,0,15,7308,896832,203256,0,

%T 0,15,10368,12228624,685305792,8627472,0,0,15,11160,50382432,

%U 64737526428,1246974564672,475098048,0,0,15,11244,101140812,1107382932648

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

%C Table starts

%C ......0.........0...........0.............0.............0..............0

%C ......8........14..........15............15............15.............15

%C ....216......2592........7308.........10368.........11160..........11244

%C ...6048....896832....12228624......50382432.....101140812......133557336

%C .203256.685305792.64737526428.1107382932648.6623245236960.19403620120548

%H R. H. Hardin, <a href="/A271407/b271407.txt">Table of n, a(n) for n = 1..116</a>

%e Some solutions for n=4 k=4

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

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

%e ...0.1.1....1.1.2....1.0.0....2.1.3....0.0.1....2.1.1....2.1.2....1.1.0

%e ..0.1.0.2..3.1.3.4..0.2.0.1..0.0.4.1..1.0.0.1..0.1.0.2..2.1.1.2..1.1.3.0

%K nonn,tabl

%O 1,6

%A _R. H. Hardin_, Apr 06 2016