A251175 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements

136, 1192, 1192, 10950, 28598, 10950, 100462, 710438, 710438, 100462, 923568, 17822017, 49016166, 17822017, 923568, 8489391, 447045247, 3387331664, 3387331664, 447045247, 8489391, 78041038, 11217458242, 234762060017

Offset

1,1

Comments

Table starts

.....136........1192..........10950............100462...............923568

....1192.......28598.........710438..........17822017............447045247

...10950......710438.......49016166........3387331664.........234762060017

..100462....17822017.....3387331664......648299061766......124211482822101

..923568...447045247...234762060017...124211482822101....65874570824121892

.8489391.11217458242.16266032347068.23810611569424562.34940908062684870572

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 13]

k=2: [order 39]

Example

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

Crossrefs

Sequence in context: A234169 A234162 A262091 * A251168 A023070 A015163

Adjacent sequences: A251172 A251173 A251174 * A251176 A251177 A251178

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2014

Status

approved