A210012 T(n,k) is the number of (n+1) X (k+1) 0..2 arrays containing all values 0..2 with every 2 X 2 subblock having two or three distinct values, and new values 0..2 introduced in row major order.

6, 88, 88, 893, 2691, 893, 8217, 70923, 70923, 8217, 73035, 1808865, 5258039, 1808865, 73035, 640495, 45763485, 385841179, 385841179, 45763485, 640495, 5586791, 1155440875, 28267925909, 82060746485, 28267925909, 1155440875

Offset

1,1

Comments

Table starts:

........6...........88...............893..................8217

.......88.........2691.............70923...............1808865

......893........70923...........5258039.............385841179

.....8217......1808865.........385841179...........82060746485

....73035.....45763485.......28267925909........17447565687601

...640495...1155440875.....2070471867089......3709556186877991

..5586791..29157605895...151644743405597....788692753629890373

.48624987.735696878225.11106638825609387.167684774000295868135

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Example

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

Crossrefs

Sequence in context: A294045 A171207 A173224 * A226426 A210005 A178296

Adjacent sequences: A210009 A210010 A210011 * A210013 A210014 A210015

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 16 2012

Status

approved