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A251201 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements 9
10, 25, 25, 64, 86, 64, 164, 310, 310, 164, 421, 1135, 1654, 1135, 421, 1081, 4172, 8976, 8976, 4172, 1081, 2776, 15353, 49104, 73170, 49104, 15353, 2776, 7129, 56519, 268638, 599869, 599869, 268638, 56519, 7129, 18308, 208082, 1470646, 4923412 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....10......25........64.........164...........421............1081

....25......86.......310........1135..........4172...........15353

....64.....310......1654........8976.........49104..........268638

...164....1135......8976.......73170........599869.........4923412

...421....4172.....49104......599869.......7392190........91120318

..1081...15353....268638.....4923412......91120318......1688254298

..2776...56519...1470646....40413851....1123772109.....31288421074

..7129..208082...8050116...331748759...13857491196....579864211963

.18308..766105..44068836..2723267431..170891121600..10746714294838

.47017.2820622.241240750.22354871755.2107379861537.199169443650957

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..799

FORMULA

Empirical for column k:

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

k=2: a(n) = 2*a(n-1) +7*a(n-2) -a(n-3) -7*a(n-4) -a(n-5) for n>6

k=3: [order 9] for n>10

k=4: [order 14] for n>16

k=5: [order 22] for n>25

k=6: [order 35] for n>39

k=7: [order 56] for n>61

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A057462 A180043 A251317 * A048195 A133634 A174051

Adjacent sequences:  A251198 A251199 A251200 * A251202 A251203 A251204

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 30 2014

STATUS

approved

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Last modified February 28 23:19 EST 2020. Contains 332353 sequences. (Running on oeis4.)