A202134 T(n,k) = Number of zero-sum n X k -3..3 arrays with every element equal to at least one horizontal or vertical neighbor.

0, 1, 1, 1, 13, 1, 7, 123, 123, 7, 5, 1205, 1857, 1205, 5, 43, 12287, 135315, 135315, 12287, 43, 43, 135179, 3767643, 22197147, 3767643, 135179, 43, 275, 1493247, 227460779, 3628653641, 3628653641, 227460779, 1493247, 275, 371, 16814401

Offset

1,5

Comments

Table starts

...0.......1.........1..........7..........5........43.........43......275.371

...1......13.......123.......1205......12287....135179....1493247.16814401

...1.....123......1857.....135315....3767643.227460779.8550543057

...7....1205....135315...22197147.3628653641

...5...12287...3767643.3628653641

..43..135179.227460779

..43.1493247

.275

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Example

Some solutions for n=3, k=3
.-1..2..2....0..0..0....2..2.-2...-3.-3.-3....2..0..0....2.-2..2....1.-3.-3
.-1..2..2....0.-3..3....0..1.-2....3..3..3....2..0..0....2.-2..2....1..1.-3
.-2.-2.-2....0.-3..3....0..1.-2....0..0..0....2.-3.-3...-3.-3..2....2..2..2

Crossrefs

Sequence in context: A010234 A111738 A389368 * A185409 A010235 A393305

Adjacent sequences: A202131 A202132 A202133 * A202135 A202136 A202137

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 11 2011

Status

approved