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A251167
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements
9
96, 552, 552, 2658, 5054, 2658, 12001, 32083, 32083, 12001, 55131, 172457, 231618, 172457, 55131, 257417, 966212, 1452052, 1452052, 966212, 257417, 1201970, 5804029, 10194430, 12191612, 10194430, 5804029, 1201970, 5597648, 35120036
OFFSET
1,1
COMMENTS
Table starts
.......96........552........2658........12001..........55131..........257417
......552.......5054.......32083.......172457.........966212.........5804029
.....2658......32083......231618......1452052.......10194430........77352519
....12001.....172457.....1452052.....12191612......109831980......1007412975
....55131.....966212....10194430....109831980.....1203787298.....13378444373
...257417....5804029....77352519...1007412975....13378444373....190531611192
..1201970...35120036...572903455...9109822648...151628039982...2775154020785
..5597648..209215196..4142817734..82472830043..1734021265531..39368472654312
.26056421.1237992428.30044582531.753010290232.19751591932782.550648311345318
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 11] for n>13
k=2: [order 24] for n>27
k=3: [order 51] for n>54
EXAMPLE
Some solutions for n=2 k=4
..1..0..0..1..2....1..1..2..3..3....0..0..0..3..3....1..3..3..3..3
..2..2..0..0..1....2..1..0..0..0....2..0..0..0..0....2..0..0..0..3
..0..2..1..1..0....3..2..1..0..0....3..3..3..1..0....2..2..2..1..2
CROSSREFS
Sequence in context: A337303 A216372 A183684 * A251160 A233029 A216106
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 30 2014
STATUS
approved