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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 20 08:10 EDT 2021. Contains 347577 sequences. (Running on oeis4.)