A251491 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements

236, 3456, 3456, 50576, 186304, 50576, 740096, 10046784, 10046784, 740096, 10830016, 541815424, 1996407424, 541815424, 10830016, 158478336, 29219848960, 396684056960, 396684056960, 29219848960, 158478336, 2319053056

Offset

1,1

Comments

Table starts

......236........3456..........50576.............740096..............10830016

.....3456......186304.......10046784..........541815424...........29219848960

....50576....10046784.....1996407424.......396684056960........78819515764397

...740096...541815424...396684056960....290403118046224....212595602301764864

.10830016.29219848960.78819515764397.212595602301764864.573419887491673696912

Links

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

Formula

Empirical for column k:

k=1: a(n) = 16*a(n-1) -20*a(n-2)

k=2: [order 7]

k=3: [order 16]

k=4: [order 48]

Example

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

Crossrefs

Sequence in context: A259639 A334649 A233983 * A251484 A247475 A233166

Adjacent sequences: A251488 A251489 A251490 * A251492 A251493 A251494

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2014

Status

approved