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A223126
T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order
14
1, 1, 2, 2, 10, 5, 10, 64, 72, 14, 24, 489, 1154, 664, 41, 72, 3599, 28907, 33604, 5376, 122, 168, 27803, 444555, 1780641, 622568, 47968, 365, 664, 212771, 11814919, 95995609, 112106293, 18539512, 406400, 1094, 1632, 1656545, 186184618
OFFSET
1,3
COMMENTS
Table starts
.....1...........1................2....................10
.....2..........10...............64...................489
.....5..........72.............1154.................28907
....14.........664............33604...............1780641
....41........5376...........622568.............112106293
...122.......47968.........18539512............7157970340
...365......406400........354680696..........461597847603
..1094.....3585408......10596201904........29989116614529
..3281....30987264.....206498940320......1959625907209239
..9842...272565760....6177157242496....128645318481467647
.29525..2378450944..121870726469408...8477443608456769792
.88574.20921604096.3647201710914880.560422268684443059564
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..2....0..1..0..0....0..1..0..2....0..1..2..0....0..1..0..2
..2..1..1..2....0..1..2..2....0..1..2..2....2..0..1..1....2..0..2..0
..0..0..1..0....0..1..0..0....2..2..1..2....0..2..2..0....1..2..1..0
CROSSREFS
Column 1 is A007051(n-1)
Row 1 is A222848
Sequence in context: A163937 A083457 A163808 * A127058 A242002 A094359
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 15 2013
STATUS
approved