A187140 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2X2 subblock traces

0, 171, 171, 405, 1773, 405, 3249, 19062, 19062, 3249, 12609, 182214, 267840, 182214, 12609, 72225, 1853892, 5755698, 5755698, 1853892, 72225, 332937, 18740754, 99203418, 201302208, 99203418, 18740754, 332937, 1731321, 189091422

Offset

1,2

Comments

Table starts

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

......171.........1773...........19062............182214............1853892

......405........19062..........267840...........5755698...........99203418

.....3249.......182214.........5755698.........201302208.........7020258336

....12609......1853892........99203418........7020258336.......440941355208

....72225.....18740754......1921749372......245891941002.....29716252404984

...332937....189091422.....34994620836.....8616423081600...1928394629936928

..1731321...1908891288....658156407930...301728175130790.127632346709629266

..8410473..19278208206..12168728064540.10570455159698376

.42400017.194645680218.227006548039242

Links

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

Example

Some solutions for 5X4
..0..0..0..0....0..0..0..0....2..2..0..0....1..2..0..0....0..0..0..0
..0..0..0..0....1..1..0..0....2..0..0..0....1..0..0..0....1..1..0..0
..2..1..1..1....0..0..1..0....1..0..0..0....1..0..2..0....2..0..0..0
..2..2..1..1....1..1..2..2....2..1..1..1....2..0..1..0....2..2..1..2
..2..2..0..1....1..1..1..1....0..1..2..2....1..0..2..1....0..2..2..1

Crossrefs

Column 1 is A185837

Sequence in context: A292090 A186871 A185614 * A185845 A045149 A031511

Adjacent sequences: A187137 A187138 A187139 * A187141 A187142 A187143

Keyword

nonn,tabl

Author

R. H. Hardin Mar 05 2011

Status

approved