

A197706


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


0



1, 2, 5, 12, 77, 720, 9259, 193296, 6058254, 309777781, 24621646669, 3052707195554
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OFFSET

1,2


COMMENTS

Every 0 is next to zero 3's, every 1 is next to one 6's, every 2 is next to two 2's, every 3 is next to three 4's, every 4 is next to four 2's, every 5 is next to five 2's, every 6 is next to six 1's.


LINKS

Table of n, a(n) for n=1..12.


EXAMPLE

Some solutions with all values 0 to 6 for 8 X 8 X 8:
.........0................2................0................0
........2.2..............2.2..............2.2..............1.1
.......2.4.2............0.1.1............2.5.2............1.6.1
......2.3.4.2..........0.1.6.1..........2.0.2.4..........0.1.1.0
.....2.4.2.2.0........2.2.1.1.0........0.2.4.2.2........2.2.2.2.2
....2.0.2.1.1.0......2.4.2.2.2.2......1.1.2.3.4.2......2.4.3.4.4.2
...2.5.2.1.6.1.0....2.4.3.4.4.5.2....1.6.1.2.4.2.0....0.2.4.2.2.5.2
..0.2.2.0.1.1.0.0..0.2.2.2.2.2.2.0..0.1.1.0.2.2.0.0..0.0.2.2.4.2.2.0


CROSSREFS

Sequence in context: A293023 A145857 A264863 * A205082 A060807 A041095
Adjacent sequences: A197703 A197704 A197705 * A197707 A197708 A197709


KEYWORD

nonn


AUTHOR

R. H. Hardin, Oct 17 2011


STATUS

approved



