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A251228 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements 9
14, 49, 49, 171, 305, 171, 597, 1892, 1892, 597, 2084, 11753, 20782, 11753, 2084, 7275, 72985, 228689, 228689, 72985, 7275, 25396, 453273, 2515011, 4462968, 2515011, 453273, 25396, 88654, 2814985, 27662994, 87024544, 87024544, 27662994, 2814985 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....14.......49........171..........597............2084..............7275

....49......305.......1892........11753...........72985............453273

...171.....1892......20782.......228689.........2515011..........27662994

...597....11753.....228689......4462968........87024544........1697323707

..2084....72985....2515011.....87024544......3007738372......103986727042

..7275...453273...27662994...1697323707....103986727042.....6373427948731

.25396..2814985..304255924..33102432698...3594807908974...390586327228567

.88654.17482154.3346446223.645599385182.124275144041759.23937316421928928

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..449

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) +2*a(n-2) -a(n-3)

k=2: a(n) = 5*a(n-1) +9*a(n-2) -8*a(n-3) -8*a(n-4) +3*a(n-5)

k=3: [order 8]

k=4: [order 17]

k=5: [order 29]

k=6: [order 54] for n>55

k=7: [order 99] for n>101

EXAMPLE

Some solutions for n=3 k=4

..0..0..0..0..1....0..0..0..1..0....0..0..1..0..1....0..0..0..1..1

..1..0..0..1..0....0..1..1..0..0....0..0..1..0..1....0..1..0..1..0

..0..0..0..1..1....0..0..0..0..1....0..0..1..0..0....1..1..0..0..0

..1..0..1..1..0....1..1..0..1..0....0..0..0..0..0....1..0..0..0..1

CROSSREFS

Sequence in context: A345724 A121202 A345691 * A250973 A039340 A043163

Adjacent sequences: A251225 A251226 A251227 * A251229 A251230 A251231

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 30 2014

STATUS

approved

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Last modified January 30 02:19 EST 2023. Contains 359939 sequences. (Running on oeis4.)