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A250583 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction 9
10, 24, 24, 55, 60, 55, 125, 142, 142, 125, 282, 329, 336, 329, 282, 635, 758, 778, 778, 758, 635, 1428, 1743, 1779, 1776, 1779, 1743, 1428, 3210, 4009, 4077, 4013, 4013, 4077, 4009, 3210, 7214, 9223, 9346, 9055, 8914, 9055, 9346, 9223, 7214, 16211, 21227 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....10....24.....55....125....282.....635....1428....3210....7214....16211

....24....60....142....329....758....1743....4009....9223...21227....48864

....55...142....336....778...1779....4077....9346...21510...49579...114548

...125...329....778...1776...4013....9055...20510...46664..106695...244907

...282...758...1779...4013...8914...19806...44104...98902..222987...506145

...635..1743...4077...9055..19806...43202...94623..208525..463050..1035676

..1428..4009...9346..20510..44104...94623..203560..441215..963419..2122436

..3210..9223..21510..46664..98902..208525..441215..939730.2019008..4376149

..7214.21227..49579.106695.222987..463050..963419.2019008.4266332..9103961

.16211.48864.114548.244907.506145.1035676.2122436.4376149.9103961.19120668

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1011

FORMULA

Empirical for column k:

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

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

k=3: a(n) = 5*a(n-1) -6*a(n-2) -7*a(n-3) +21*a(n-4) -14*a(n-5) -a(n-6) +4*a(n-7) -a(n-8)

k=4: [order 9] for n>10

k=5: [order 12] for n>14

k=6: [order 12] for n>15

k=7: [order 15] for n>19

EXAMPLE

Some solutions for n=6 k=4

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A231880 A102089 A250797 * A223415 A187629 A175403

Adjacent sequences:  A250580 A250581 A250582 * A250584 A250585 A250586

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 25 2014

STATUS

approved

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Last modified September 27 15:28 EDT 2021. Contains 347691 sequences. (Running on oeis4.)