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A250913 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element 8
74, 603, 603, 4909, 13401, 4909, 39960, 297873, 297873, 39960, 325277, 6621219, 18077319, 6621219, 325277, 2647773, 147178899, 1096982379, 1096982379, 147178899, 2647773, 21553018, 3271547025, 66566704705, 181725094746 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......74.........603............4909..............39960.................325277

......603.......13401..........297873............6621219..............147178899

.....4909......297873........18077319.........1096982379............66566704705

....39960.....6621219......1096982379.......181725094746.........30104106257115

...325277...147178899.....66566704705.....30104106257115......13614176466285177

..2647773..3271547025...4039362762435...4986961280614953....6156816533805174849

.21553018.72721157625.245114118899485.826125782084148708.2784331051704024117237

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

k=1: a(n) = 9*a(n-1) -7*a(n-2)

k=2: a(n) = 24*a(n-1) -41*a(n-2) +36*a(n-3)

k=3: [order 7]

k=4: [order 13]

k=5: [order 30]

EXAMPLE

Some solutions for n=2 k=4

..0..1..2..1..1....0..1..1..0..1....0..1..2..1..0....0..0..2..1..1

..0..0..2..1..2....0..0..0..2..2....0..0..1..1..2....0..0..1..1..2

..1..0..1..0..0....0..0..0..0..1....0..1..2..1..1....0..0..2..0..2

CROSSREFS

Column 1 is A190984(n+2)

Sequence in context: A321114 A205584 A280402 * A186124 A204353 A300487

Adjacent sequences:  A250910 A250911 A250912 * A250914 A250915 A250916

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 28 2014

STATUS

approved

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Last modified February 17 12:14 EST 2020. Contains 331996 sequences. (Running on oeis4.)