A197913 - OEIS

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

%S 1,7,25,210,10243,262443,22032028,4876165115,1298903907523,

%T 871790327970014

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

%C Every 0 is next to 0 3's, every 1 is next to 1 1'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 8X8X8

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

%e ........0.0..............0.0..............0.0..............0.0

%e .......0.0.0............0.1.0............0.5.0............0.0.0

%e ......1.1.5.0..........0.0.1.0..........1.0.1.0..........0.6.0.2

%e .....2.0.0.0.0........0.6.0.0.0........1.0.1.4.1........1.0.0.1.1

%e ....2.1.0.6.0.0......0.0.0.5.1.1......0.0.0.0.1.3......1.4.1.0.0.0

%e ...1.4.1.0.0.2.1....2.2.1.0.0.4.2....1.1.0.6.0.2.1....3.3.1.2.0.5.0

%e ..2.1.2.0.1.1.3.1..1.1.3.1.2.1.1.0..0.2.0.0.0.0.0.1..1.1.2.0.0.0.1.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011