A197853 - OEIS

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A197853

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

1, 7, 22, 263, 5883, 269045, 23032477, 3863987076, 1263453276727, 804280010720339

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 1's, every 3 is next to 3 0'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

LINKS

Table of n, a(n) for n=1..10.

EXAMPLE

Some solutions with all values from 0 to 6 for 8X8X8

.........0................0................0................0

........0.0..............0.0..............0.0..............0.0

.......0.0.1............0.0.0............0.0.0............0.0.0

......0.1.4.1..........0.0.6.0..........1.0.1.0..........0.0.0.1

.....0.0.1.0.0........0.1.0.0.0........1.0.1.4.1........0.0.1.4.1

....3.0.0.0.0.0......0.3.1.0.1.1......0.5.0.0.1.0......0.6.0.1.3.0

...1.0.6.0.5.1.0....1.3.0.5.0.4.0....0.0.0.6.0.0.1....1.0.0.5.0.0.0

..2.1.0.0.0.0.1.0..2.1.0.0.0.1.1.0..0.0.0.0.0.3.1.2..2.1.0.0.0.1.1.0