A197998 - OEIS

%I #4 Mar 31 2012 12:36:31

%S 1,1,25,150,2625,302653,20511292,3596730341,2243353120897

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,1,1,1,0,0 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 0's, every 6 is next to 6 0's

%e Some solutions with all values from 0 to 6 for 7X7X7

%e ........1..............0..............1..............0..............1

%e .......3.1............0.0............1.3............0.0............1.3

%e ......1.4.1..........0.6.0..........1.4.1..........0.6.0..........0.0.1

%e .....0.2.1.3........1.0.0.0........1.3.1.0........1.0.0.0........1.0.5.0

%e ....0.0.0.1.0......3.1.0.5.1......1.2.0.0.0......3.1.0.5.0......1.3.0.0.0

%e ...0.6.0.0.5.0....1.4.1.0.0.3....3.0.5.0.6.0....1.4.1.0.1.1....1.4.1.0.6.0

%e ..0.0.0.0.0.0.0..0.1.3.1.2.1.1..1.1.0.0.0.0.0..2.1.3.1.1.3.0..1.3.1.2.0.0.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 20 2011