A220761 T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 n X k array.

4, 4, 16, 16, 28, 64, 36, 268, 192, 256, 94, 708, 4328, 956, 1024, 236, 4766, 24934, 68212, 5494, 4096, 602, 15724, 354706, 548130, 1094438, 30888, 16384, 1528, 88434, 2715804, 21154028, 14683998, 17553448, 172038, 65536, 3882, 331024, 31659166

Offset

1,1

Comments

Table starts

.......4........4..........16...........36............94...........236

......16.......28.........268..........708..........4766.........15724

......64......192........4328........24934........354706.......2715804

.....256......956.......68212.......548130......21154028.....252705768

....1024.....5494.....1094438.....14683998....1383229596...30118695378

....4096....30888....17553448....380208068...89823059958.3442732323766

...16384...172038...281649154...9770273902.5844655062086

...65536...964828..4519836612.252723391836

..262144..5400158.72535767418

.1048576.30225794

.4194304

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=3, k=4
..0..0..0..0....1..1..1..1....0..0..1..1....1..2..0..1....0..0..0..0
..0..1..0..0....3..0..2..1....2..0..1..1....1..1..0..0....0..2..0..0
..2..1..0..0....0..0..2..3....1..1..3..2....1..2..0..3....2..3..0..0

Crossrefs

Column 1 is A000302.

Column 2 is A218175.

Row 1 is A218051.

Sequence in context: A258722 A264039 A196064 * A278238 A218522 A303072

Adjacent sequences: A220758 A220759 A220760 * A220762 A220763 A220764

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2012

Status

approved