A185845 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace

0, 171, 171, 405, 1773, 405, 3249, 20097, 20097, 3249, 12609, 222003, 424197, 222003, 12609, 72225, 2506851, 10670517, 10670517, 2506851, 72225, 332937, 28276065, 254648349, 560733777, 254648349, 28276065, 332937, 1731321, 319126401

Offset

1,2

Comments

Table starts

........0..........171..............405...............3249...............12609

......171.........1773............20097.............222003.............2506851

......405........20097...........424197...........10670517...........254648349

.....3249.......222003.........10670517..........560733777.........29306445165

....12609......2506851........254648349........29306445165.......3293066139075

....72225.....28276065.......6182861913......1532963751183.....373447226493477

...332937....319126401.....149296412943.....80217651167325...42234121752791535

..1731321...3601102725....3610924080057...4197053176231149.4780252449901079883

..8410473..40637462859...87290961055317.219601118427318765

.42400017.458593005339.2110537794502179

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for 4X3
..1..1..2....0..0..2....1..0..0....0..0..1....2..0..1....2..2..2....0..2..0
..1..2..2....1..2..2....0..0..2....1..1..2....0..0..2....2..2..2....1..2..2
..1..1..1....0..1..0....1..1..2....0..0..1....0..0..2....0..1..1....0..1..2
..1..1..1....1..2..1....1..0..0....2..2..2....0..0..2....0..1..0....2..2..1

Crossrefs

Sequence in context: A186871 A185614 A187140 * A045149 A031511 A101273

Adjacent sequences: A185842 A185843 A185844 * A185846 A185847 A185848

Keyword

nonn,tabl

Author

R. H. Hardin Feb 05 2011

Status

approved