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A222906
T(n,k)=Number of nXk 0..3 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..3 order
14
1, 1, 2, 1, 4, 5, 4, 7, 14, 15, 5, 25, 45, 75, 51, 14, 92, 373, 767, 411, 187, 17, 403, 1202, 7794, 4909, 2522, 715, 75, 1710, 18981, 101398, 180203, 119393, 15919, 2795, 95, 8021, 82020, 1346067, 2117424, 4320431, 759891, 103627, 11051, 411, 36160
OFFSET
1,3
COMMENTS
Table starts
......1.........1............1................4.................5
......2.........4............7...............25................92
......5........14...........45..............373..............1202
.....15........75..........767.............7794............101398
.....51.......411.........4909...........180203...........2117424
....187......2522.......119393..........4320431.........213112150
....715.....15919.......759891........105327353........4854855483
...2795....103627.....20299463.......2592612272......488736554328
..11051....683480....130579169......64243363904....11422629770589
..43947...4554799...3588643955....1600125512239..1152667562787040
.175275..30542304..23230932391...40022606753953.27237086853444410
.700075.205785953.647426033879.1004596097977296
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..1....0..0..0..0....0..0..0..1....0..0..0..0....0..1..1..1
..1..1..1..1....0..0..1..0....0..0..2..2....0..1..2..2....1..1..1..1
..1..0..1..1....0..0..1..1....2..2..2..2....2..2..2..2....1..1..1..0
CROSSREFS
Column 1 is A007581(n-1)
Row 1 is A222372
Sequence in context: A165046 A047949 A222986 * A359900 A323955 A197011
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 09 2013
STATUS
approved