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A222649
T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order
7
1, 1, 1, 1, 1, 1, 4, 3, 3, 4, 5, 12, 5, 12, 5, 14, 38, 61, 61, 38, 14, 17, 124, 157, 457, 157, 124, 17, 70, 430, 1972, 3411, 3411, 1972, 430, 70, 89, 1530, 5625, 31487, 25724, 31487, 5625, 1530, 89, 326, 5378, 66494, 317655, 640355, 640355, 317655, 66494, 5378, 326
OFFSET
1,7
COMMENTS
Table starts
....1......1........1...........4..............5..............14
....1......1........3..........12.............38.............124
....1......3........5..........61............157............1972
....4.....12.......61.........457...........3411...........31487
....5.....38......157........3411..........25724..........640355
...14....124.....1972.......31487.........640355........14332759
...17....430.....5625......317655........5969486.......368332772
...70...1530....66494.....3161392......171452513.....10043940772
...89...5378...199913....31436637.....1679184332....284244110551
..326..18938..2287282...315944445....49651101137...8226667384808
..413..67042..7139249..3182997999...492598252164.241133356688912
.1630.238446.79717242.32059374557.14686568899907
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..0....0..0..0..0....0..0..0..1....0..0..1..1....0..0..0..0
..1..0..0..0....0..0..0..1....0..0..0..0....1..1..1..1....0..0..0..0
..0..0..0..0....0..0..1..2....0..0..0..1....1..1..1..1....0..1..0..0
CROSSREFS
Column 1 is A222364
Sequence in context: A180217 A270651 A222635 * A222616 A011762 A195780
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 27 2013
STATUS
approved