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A222573
T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order
12
1, 1, 2, 1, 1, 5, 4, 5, 5, 14, 5, 10, 11, 18, 41, 14, 25, 56, 120, 59, 122, 17, 128, 134, 435, 500, 200, 365, 70, 292, 1500, 3516, 4790, 5210, 820, 1094, 89, 1318, 3999, 25441, 30766, 50535, 20889, 3014, 3281, 326, 3640, 46250, 212957, 543064, 881766, 547563
OFFSET
1,3
COMMENTS
Table starts
.....1......1.........1..........4...........5...........14...........17
.....2......1.........5.........10..........25..........128..........292
.....5......5........11.........56.........134.........1500.........3999
....14.....18.......120........435........3516........25441.......212957
....41.....59.......500.......4790.......30766.......543064......4102865
...122....200......5210......50535......881766.....14120189....278335019
...365....820.....20889.....547563.....9004283....406233879...7240361264
..1094...3014....229894....5815939...287554360..12231597130.617491399888
..3281..11364....913405...63130202..2996904309.379056994144
..9842..42748..10427244..676152734.97314847813
.29525.164652..40896923.7328771224
.88574.627034.479942958
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..0....0..1..1..1....0..0..0..0....0..0..1..1....0..0..1..1
..0..0..0..0....2..1..1..1....0..0..0..0....1..1..1..1....0..0..1..1
..1..2..0..0....2..1..1..1....1..0..0..1....1..1..1..1....0..0..1..1
CROSSREFS
Column 1 is A007051(n-1)
Row 1 is A222364
Sequence in context: A327483 A327884 A050145 * A222679 A058676 A147649
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 25 2013
STATUS
approved