A197876 - OEIS

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A197876

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

1, 5, 14, 69, 620, 17796, 622753, 56046232, 7816677450

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

OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

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

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

........2.0..............2.2..............2.2..............1.1

.......2.2.1............2.5.2............2.5.2............1.6.1

......3.0.4.1..........2.5.2.0..........0.2.5.2..........0.1.1.0

.....2.2.1.1.0........0.2.2.1.1........1.1.2.2.0........1.1.4.1.1

....2.5.2.4.1.1......0.0.3.1.6.1......1.6.1.3.1.1......2.2.2.3.2.2

...0.2.5.2.1.6.1....0.2.2.0.1.1.0....0.1.1.0.2.2.1....2.5.5.2.3.2.1

..0.0.2.2.0.1.1.0..1.1.2.1.1.4.1.1..1.1.4.1.1.2.0.1..0.2.2.2.0.0.0.1