A203123 - OEIS

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A203123

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

1, 2, 17, 116, 2480, 93046, 5938485, 852643276, 227989002500

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

OFFSET

1,2

COMMENTS

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

LINKS

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

EXAMPLE

Some solutions with all values from 0 to 6 for 7X7X7

........0..............2..............0..............0..............0

.......0.0............2.2............0.0............0.0............0.0

......0.6.0..........1.0.0..........0.6.0..........0.6.0..........0.5.0

.....0.0.0.0........3.0.6.0........0.0.0.1........0.0.0.1........1.3.0.0

....1.1.1.5.0......1.1.0.0.0......0.5.0.1.3......0.5.0.3.1......4.1.1.0.0

...3.4.3.0.0.2....2.4.1.0.5.0....0.2.0.1.4.1....2.2.0.1.4.1....1.1.2.0.6.0

..1.1.1.0.0.2.2..2.2.1.3.1.0.0..0.2.2.1.3.1.0..0.2.0.0.1.3.1..1.3.2.2.0.0.0

CROSSREFS