A197570 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,5,5,0,0,4,3 for x=0,1,2,3,4,5,6

1, 1, 7, 50, 475, 7758, 232920, 10474252, 800434581, 103737269018, 21673922882462, 7564482881717686, 4386514307465653148

Offset

1,3

Comments

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

Links

Table of n, a(n) for n=1..13.

Example

Some solutions for 5X5X5
......0..........0..........0..........0..........0..........0..........0
.....0.3........0.0........0.0........0.3........0.4........0.4........3.0
....0.4.0......0.4.3......3.0.0......0.0.3......4.0.0......3.0.0......3.0.4
...0.4.0.4....3.4.0.0....3.0.4.3....4.0.0.0....0.0.0.0....3.0.0.3....0.0.0.0
..0.0.3.0.0..0.0.0.4.0..0.0.3.0.0..0.0.3.3.0..0.0.3.3.0..0.0.0.3.0..0.4.0.4.0

Crossrefs

Sequence in context: A266432 A369473 A267243 * A319884 A204463 A041086

Adjacent sequences: A197567 A197568 A197569 * A197571 A197572 A197573

Keyword

nonn

Author

R. H. Hardin Oct 16 2011

Status

approved