

A223033


T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one kingmove neighbor, with new values introduced in row major 0..2 order


6



1, 0, 0, 0, 6, 0, 6, 16, 16, 6, 16, 58, 45, 58, 16, 16, 136, 472, 472, 136, 16, 40, 352, 820, 1341, 820, 352, 40, 280, 768, 11680, 6472, 6472, 11680, 768, 280, 768, 1752, 18827, 15374, 13319, 15374, 18827, 1752, 768, 1440, 3680, 297604, 60497, 219912, 219912
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OFFSET

1,5


COMMENTS

Table starts
.....1.....0.......0......6......16......16......40.....280......768....1440
.....0.....6......16.....58.....136.....352.....768....1752.....3680....7904
.....0....16......45....472.....820...11680...18827..297604...476311.7843888
.....6....58.....472...1341....6472...15374...60497..142610...499278.1229381
....16...136.....820...6472...13319..219912..332851.8050444.11698029
....16...352...11680..15374..219912..308384.2955464.4938602
....40...768...18827..60497..332851.2955464
...280..1752..297604.142610.8050444
...768..3680..476311.499278
..1440..7904.7843888
..3808.16256
.16352


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84


EXAMPLE

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


CROSSREFS

Column 1 is A222884
Sequence in context: A055955 A165071 A341483 * A237444 A222918 A280480
Adjacent sequences: A223030 A223031 A223032 * A223034 A223035 A223036


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Mar 12 2013


STATUS

approved



