A210309 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order

0, 29, 29, 414, 1091, 414, 4553, 27957, 27957, 4553, 45890, 655743, 1575467, 655743, 45890, 446093, 14976529, 85724987, 85724987, 14976529, 446093, 4266246, 339125187, 4628067519, 11061291451, 4628067519, 339125187, 4266246, 40490097

Offset

1,2

Comments

Table starts

........0...........29.............414................4553

.......29.........1091...........27957..............655743

......414........27957.........1575467............85724987

.....4553.......655743........85724987.........11061291451

....45890.....14976529......4628067519.......1424160340819

...446093....339125187....249417760123.....183304255111499

..4266246...7657326365..13436313660615...23591932615876019

.40490097.172736626311.723757498910275.3036344556314579403

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

Some solutions for n=4 k=3
..0..1..1..1....0..0..0..0....0..0..1..0....0..0..1..0....0..1..1..0
..1..2..3..2....0..0..0..0....1..2..2..0....0..0..2..0....0..2..0..2
..3..1..1..2....1..2..3..1....1..3..0..3....3..1..0..1....0..1..0..3
..0..0..2..3....1..0..2..1....1..2..3..2....1..0..2..1....3..1..2..2
..0..0..1..3....3..0..1..3....0..1..1..3....1..2..1..3....0..1..0..1

Crossrefs

Sequence in context: A146040 A146017 A210267 * A165850 A129287 A007642

Adjacent sequences: A210306 A210307 A210308 * A210310 A210311 A210312

Keyword

nonn,tabl

Author

R. H. Hardin Mar 19 2012

Status

approved