A250935 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having a diagonal absolute difference less than its antidiagonal absolute difference

164, 1652, 1652, 16588, 42776, 16588, 166600, 1104364, 1104364, 166600, 1673388, 28564788, 73855420, 28564788, 1673388, 16808096, 739019204, 4951389320, 4951389320, 739019204, 16808096, 168826024, 19118642332, 332020435016

Offset

1,1

Comments

Table starts

......164........1652..........16588............166600..............1673388

.....1652.......42776........1104364..........28564788............739019204

....16588.....1104364.......73855420........4951389320.........332020435016

...166600....28564788.....4951389320......861990961500......150150624833184

..1673388...739019204...332020435016...150150624833184....68000055264949776

.16808096.19118642332.22261912983384.26155302062776044.30803789209655858532

Links

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

Formula

Empirical for column k:

k=1: a(n) = 12*a(n-1) -23*a(n-2) +37*a(n-3) -33*a(n-4)

k=2: [order 16]

k=3: [order 64]

Example

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

Crossrefs

Sequence in context: A251197 A038670 A192993 * A250928 A205314 A229377

Adjacent sequences: A250932 A250933 A250934 * A250936 A250937 A250938

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 28 2014

Status

approved