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Number of 7X7X7 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors
0

%I #3 Jul 14 2012 21:45:53

%S 128,5247716,3183854216,405643523920,21313909250888,623154633711990,

%T 11944886965820440,166092394781968922,1792145757381897992

%N Number of 7X7X7 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors

%C Row 7 of A214384

%e Some solutions for n=3

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

%e .......0.1............0.1............0.1............0.1............0.1

%e ......1.0.1..........1.0.1..........1.0.1..........1.0.1..........1.0.1

%e .....1.0.1.0........1.0.1.0........1.0.1.0........1.0.1.0........1.0.1.0

%e ....1.0.1.2.0......1.0.1.0.1......1.0.1.0.2......0.1.0.1.0......1.0.1.3.0

%e ...1.0.2.0.2.0....2.1.0.2.0.1....1.0.2.0.2.3....0.3.0.1.2.0....1.3.0.3.2.0

%e ..1.0.3.0.2.0.2..3.1.0.1.3.0.1..1.0.1.3.0.3.1..2.0.3.0.2.0.3..0.2.3.0.3.0.1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 14 2012