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A222986
T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order
14
1, 1, 2, 1, 4, 5, 4, 7, 14, 14, 5, 25, 43, 70, 41, 14, 86, 314, 584, 326, 122, 17, 332, 946, 4572, 2903, 1630, 365, 70, 1172, 10417, 42607, 68385, 45718, 8058, 1094, 89, 4566, 36987, 414907, 601407, 1037326, 227569, 40598, 3281, 326, 16562, 431995, 4405097
OFFSET
1,3
COMMENTS
Table starts
.....1........1...........1..............4.................5
.....2........4...........7.............25................86
.....5.......14..........43............314...............946
....14.......70.........584...........4572.............42607
....41......326........2903..........68385............601407
...122.....1630.......45718........1037326..........29158784
...365.....8058......227569.......15904038.........433151066
..1094....40598.....3706702......245900395.......21273422658
..3281...204914....18721501.....3827698634......321537852228
..9842..1041934...309335666....59908716776....15962124223493
.29525..5315674..1578160193...941887270541...243618393075038
.88574.27228710.26302908158.14864346253334.12191944518185381
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1....0..0..1..0....0..1..1..1....0..0..1..1....0..0..0..0
..0..0..0..0....2..1..1..1....1..1..1..2....0..2..2..2....0..0..0..1
..0..0..1..1....1..1..1..1....1..1..1..2....2..2..2..2....0..1..1..1
CROSSREFS
Column 1 is A007051(n-1)
Row 1 is A222364
Sequence in context: A165042 A165046 A047949 * A222906 A359900 A323955
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 11 2013
STATUS
approved