A250982 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements

71, 562, 562, 4459, 12077, 4459, 35381, 260056, 260056, 35381, 280728, 5598430, 15156945, 5598430, 280728, 2227408, 120515358, 883387252, 883387252, 120515358, 2227408, 17673153, 2594308975, 51487962431, 139471732486, 51487962431

Offset

1,1

Comments

Table starts

.......71.........562............4459..............35381.................280728

......562.......12077..........260056............5598430..............120515358

.....4459......260056........15156945..........883387252............51487962431

....35381.....5598430.......883387252.......139471732486.........22020178055066

...280728...120515358.....51487962431.....22020178055066.......9416933752243198

..2227408..2594308975...3000977166321...3476591604928509....4027179649653568467

.17673153.55847243498.174911850250602.548891857207523016.1722239421934657361988

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 9*a(n-1) -10*a(n-2) +13*a(n-3) -6*a(n-4) +a(n-5)

k=2: [order 14]

k=3: [order 34]

k=4: [order 97]

Example

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

Crossrefs

Sequence in context: A268889 A142432 A341426 * A250975 A209960 A209953

Adjacent sequences: A250979 A250980 A250981 * A250983 A250984 A250985

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 29 2014

Status

approved