A204572 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

8, 42, 42, 256, 482, 256, 1682, 6112, 6112, 1682, 11448, 80518, 158981, 80518, 11448, 79162, 1075080, 4220392, 4220392, 1075080, 79162, 551216, 14421190, 112592256, 226207388, 112592256, 14421190, 551216, 3849762, 193752824, 3007468553

Offset

1,1

Comments

Table starts

.......8.........42...........256.............1682...............11448

......42........482..........6112............80518.............1075080

.....256.......6112........158981..........4220392...........112592256

....1682......80518.......4220392........226207388.........12184154082

...11448....1075080.....112592256......12184154082.......1331721926667

...79162...14421190....3007468553.....657035534014.....146012317377342

..551216..193752824...80358249724...35439471578008...16024704563231697

.3849762.2604524150.2147311723128.1911668983879844.1759237470505955994

Links

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

Example

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

Crossrefs

Sequence in context: A067301 A295936 A352397 * A374915 A086392 A234860

Adjacent sequences: A204569 A204570 A204571 * A204573 A204574 A204575

Keyword

nonn,tabl

Author

R. H. Hardin Jan 16 2012

Status

approved