A203796 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

112, 784, 784, 5488, 10576, 5488, 38416, 142192, 142192, 38416, 268912, 1911952, 3784288, 1911952, 268912, 1882384, 25708528, 101071600, 101071600, 25708528, 1882384, 13176688, 345682576, 2700695728, 5426653360, 2700695728, 345682576

Offset

1,1

Comments

Table starts

......112.........784...........5488.............38416...............268912

......784.......10576.........142192...........1911952.............25708528

.....5488......142192........3784288.........101071600...........2700695728

....38416.....1911952......101071600........5426653360.........292394880208

...268912....25708528.....2700695728......292394880208.......31960919852416

..1882384...345682576....72168659104....15768587718160.....3504288958063120

.13176688..4648124656..1928524187248...850544485943152...384592800378103840

.92236816.62499715984.51534966781936.45880025360206384.42221697503213865232

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

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

Crossrefs

Sequence in context: A205250 A047631 A264891 * A203789 A211448 A206318

Adjacent sequences: A203793 A203794 A203795 * A203797 A203798 A203799

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2012

Status

approved