A183748 T(n,k) = number of (n+1) X (k+1) 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4.

19, 147, 147, 1041, 2553, 1041, 10231, 55857, 55857, 10231, 76355, 1389521, 3631179, 1389521, 76355, 639129, 33587307, 263234281, 263234281, 33587307, 639129, 5262685, 829488619, 19216153673, 55212617129, 19216153673, 829488619, 5262685

Offset

1,1

Comments

Table starts

.........19.............147.................1041...................10231

........147............2553................55857.................1389521

.......1041...........55857..............3631179...............263234281

......10231.........1389521............263234281.............55212617129

......76355........33587307..........19216153673..........12024860660055

.....639129.......829488619........1426003404195........2669694620697299

....5262685.....20777533329......107098914678533......600788747889666009

...45272931....526362000253.....8126407481779133...136582348832416596017

..382928623..13427566678795...621298001439642413.31294543292138683447483

.3284527183.344521962594233.47785646470869878477

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

Some solutions for 4 X 3:
..1..1..2....2..2..2....0..1..2....0..0..2....2..1..1....2..1..2....2..1..1
..0..2..1....2..0..0....1..0..1....1..0..0....2..0..1....1..0..2....1..2..0
..1..0..2....2..0..0....1..2..0....1..2..2....2..0..1....0..0..2....2..0..2
..0..0..2....1..2..0....1..2..1....2..0..2....1..2..1....2..2..0....1..0..1
...
...E..P.......P..E.......M..E.......M..M.......P..M.......E..P.......P..E...
...M..P.......E..M.......E..M.......E..E.......E..M.......M..E.......P..E...
...M..E.......P..M.......P..P.......P..P.......P..E.......E..E.......M..M...

Crossrefs

Sequence in context: A093646 A264679 A200530 * A241620 A069423 A183740

Adjacent sequences: A183745 A183746 A183747 * A183749 A183750 A183751

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 06 2011

Status

approved