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

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

R. H. Hardin, Table of n, a(n) for n = 1..97

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

Adjacent sequences: A252774 A252775 A252776 * A252778 A252779 A252780

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 21 2014

Status

approved