A209511 T(n,k)=Half the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having two or four distinct clockwise edge differences

9, 27, 27, 81, 123, 81, 243, 561, 561, 243, 729, 2559, 3906, 2559, 729, 2187, 11673, 27225, 27225, 11673, 2187, 6561, 53247, 189801, 290493, 189801, 53247, 6561, 19683, 242889, 1323270, 3102219, 3102219, 1323270, 242889, 19683, 59049, 1107951

Offset

1,1

Comments

Table starts

.....9......27.......81........243..........729...........2187............6561

....27.....123......561.......2559........11673..........53247..........242889

....81.....561.....3906......27225.......189801........1323270.........9225765

...243....2559....27225.....290493......3102219.......33137271.......353991129

...729...11673...189801....3102219.....50798448......832374135.....13642432110

..2187...53247..1323270...33137271....832374135....20934997854....526815563193

..6561..242889..9225765..353991129..13642432110...526815563193..20362314816594

.19683.1107951.64321641.3781613733.223616134827.13259938040553.787378099628577

Links

R. H. Hardin, Table of n, a(n) for n = 1..364

Example

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

Crossrefs

Sequence in context: A205973 A122985 A255622 * A370872 A115148 A022701

Adjacent sequences: A209508 A209509 A209510 * A209512 A209513 A209514

Keyword

nonn,tabl

Author

R. H. Hardin Mar 09 2012

Status

approved