A250965 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element

170, 1592, 1592, 14423, 34988, 14423, 130025, 768855, 768855, 130025, 1172956, 17233753, 42534386, 17233753, 1172956, 10588744, 390286993, 2395598690, 2395598690, 390286993, 10588744, 95612685, 8862302446, 134817198768

Offset

1,1

Comments

Table starts

......170.......1592.........14423...........130025.............1172956

.....1592......34988........768855.........17233753...........390286993

....14423.....768855......42534386.......2395598690........134817198768

...130025...17233753....2395598690.....333998523952......46264786072136

..1172956..390286993..134817198768...46264786072136...15830978769561242

.10588744.8862302446.7555575891628.6395621652233739.5432045141123489432

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Formula

Empirical for column k:

k=1: [linear recurrence of order 7]

k=2: [order 25]

k=3: [order 75]

Example

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

Crossrefs

Sequence in context: A206122 A259293 A262426 * A250958 A031614 A289648

Adjacent sequences: A250962 A250963 A250964 * A250966 A250967 A250968

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 29 2014

Status

approved