login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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

%I #6 May 09 2022 00:07:41

%S 1,5,23,271,7626,388997,43773565,10352471548,5131572966569

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

%C Every 0 is next to 0 6's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 2'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............2.2............1.0............2.2............1.1

%e ......2.2.1..........2.6.2..........1.0.4..........2.6.2..........2.2.0

%e .....0.2.3.1........1.2.2.3........0.5.0.0........1.2.2.3........2.6.2.0

%e ....4.0.0.2.2......0.1.0.0.2......0.0.0.2.2......0.1.0.0.2......3.2.2.0.0

%e ...0.0.5.2.6.2....4.0.0.5.2.2....0.2.3.2.6.2....0.0.0.5.2.2....2.1.0.5.0.4

%e ..1.1.0.0.2.2.0..0.0.0.0.0.1.1..0.2.2.3.2.2.0..0.4.0.0.0.1.1..2.2.1.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 20 2011