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R. H. Hardin, <a href="/A250982/b250982.txt">Table of n, a(n) for n = 1..180</a>

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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

1,1

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

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]

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

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nonn,tabl

R. H. Hardin, Nov 29 2014

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