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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)