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.

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

Offset: 1

Author

R. H. Hardin, Nov 28 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A190984(n+2)

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]