|
%I #7 Apr 30 2022 21:06:51
%S 1,5,26,273,6471,310314,28982276,5533436740,2118285935865,
%T 1626014944250437
%N Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,2,0,0,0,1 for x=0,1,2,3,4,5,6.
%C Every 0 is next to 0 6's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 1's.
%e Some solutions with all values from 0 to 6 for 7 X 7 X 7
%e ........0..............0..............0..............0..............0
%e .......0.0............0.0............0.0............1.1............0.0
%e ......0.5.0..........0.4.0..........0.5.0..........1.6.1..........0.5.0
%e .....0.3.0.2........0.2.2.3........2.0.3.0........0.1.1.0........0.0.3.0
%e ....1.1.1.2.2......1.1.2.0.0......2.2.1.1.1......0.2.2.3.0......0.2.2.1.1
%e ...1.6.1.3.0.0....1.6.1.3.5.0....0.0.3.1.6.1....0.4.2.0.5.0....0.0.2.1.6.1
%e ..0.1.1.0.0.4.0..0.1.1.0.0.0.0..0.4.0.0.1.1.0..0.0.0.3.0.0.0..0.4.0.0.1.1.0
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 30 2011
| 