A251249 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

75, 621, 621, 5139, 14265, 5139, 42525, 327753, 327753, 42525, 351891, 7530633, 20904689, 7530633, 351891, 2911869, 173028393, 1333268433, 1333268433, 173028393, 2911869, 24095475, 3975606801, 85032883789, 236035946835

Offset: 1

Author

R. H. Hardin, Dec 01 2014

Keywords

• nonn
• tabl

Comments

Table starts

......75........621..........5139............42525...............351891

.....621......14265........327753..........7530633............173028393

....5139.....327753......20904689.......1333268433..........85032883789

...42525....7530633....1333268433.....236035946835.......41786532918513

..351891..173028393...85032883789...41786532918513....20534495636679387

.2911869.3975606801.5423196612609.7397658897202791.10090935221593972941

Examples

			Some solutions for n=2 k=4
..0..0..0..0..0....0..0..0..2..2....0..0..0..2..0....0..0..0..2..0
..0..2..1..1..0....0..0..1..1..2....0..0..0..0..1....0..1..1..1..0
..0..2..1..2..2....0..0..2..1..1....0..2..0..1..2....0..0..0..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..264

Crossrefs

Column 1 is A190983(n+2)

Formula

Empirical for column k:

k=1: a(n) = 9*a(n-1) -6*a(n-2)

k=2: a(n) = 27*a(n-1) -94*a(n-2) +36*a(n-3) -4*a(n-4) -36*a(n-5)

k=3: [order 10]

k=4: [order 24]

k=5: [order 51]