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A252777
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order
7
234, 1028, 1028, 4687, 4717, 4687, 22295, 23114, 23114, 22295, 105956, 121043, 129870, 121043, 105956, 507049, 649951, 797340, 797340, 649951, 507049, 2429173, 3523216, 5171516, 6142118, 5171516, 3523216, 2429173, 11652188, 19170149
OFFSET
1,1
COMMENTS
Table starts
.......234.......1028........4687.........22295.........105956.........507049
......1028.......4717.......23114........121043.........649951........3523216
......4687......23114......129870........797340........5171516.......34241905
.....22295.....121043......797340.......6142118.......51149836......451291764
....105956.....649951.....5171516......51149836......585983612.....7366218679
....507049....3523216....34241905.....451291764.....7366218679...132077978653
...2429173...19170149...231889793....4182615816....96519311021..2528408773613
..11652188..104987624..1600079329...39449312353..1318593973312.51026878095891
..55960799..576681145.11101235991..381282828301.18614939625457
.268783174.3171047173.77978854894.3767301056971
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 63] for n>64
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..2..2..3....0..1..1..2..1..1....0..0..1..1..0..0....0..1..0..0..1..1
..1..0..0..1..1..3....1..0..0..1..1..2....0..0..2..2..0..0....2..0..0..3..0..0
..0..0..1..1..2..1....1..0..1..1..0..1....2..1..1..2..1..1....0..0..1..0..0..1
..0..1..0..0..1..1....2..1..1..0..0..1....2..1..1..0..0..1....0..2..0..0..3..0
..2..0..0..1..1..3....1..1..2..1..1..0....3..3..2..2..0..2....2..2..0..2..0..0
CROSSREFS
Sequence in context: A304615 A287878 A252338 * A252771 A251515 A251508
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 21 2014
STATUS
approved