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R. H. Hardin, <a href="/A250965/b250965.txt">Table of n, a(n) for n = 1..161</a>

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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

1,1

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

Empirical for column k:

k=1: [linear recurrence of order 7]

k=2: [order 25]

k=3: [order 75]

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

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nonn,tabl

R. H. Hardin, Nov 29 2014

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