A251801 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

150, 1080, 1740, 6627, 28932, 19269, 36552, 348679, 724300, 216912, 187000, 3352272, 17195593, 18577404, 2430631, 905440, 27291608, 294088336, 873945739, 474547100, 27278035, 4206453, 195753488, 3934266515, 26787273856, 44356434596

Offset: 1

Author

R. H. Hardin, Dec 09 2014

Keywords

• nonn
• tabl

Comments

Table starts

.......150.........1080............6627.............36552..............187000

......1740........28932..........348679...........3352272............27291608

.....19269.......724300........17195593.........294088336..........3934266515

....216912.....18577404.......873945739.......26787273856........594938582014

...2430631....474547100.....44356434596.....2446811684440......90717637876583

..27278035..12140516092...2255553135793...224175608341756...13902663302194715

.305991368.310512400748.114701510008550.20552060379396424.2134102396738819286

Examples

			Some solutions for n=2 k=4
..0..2..0..0..2....0..2..2..3..1....0..0..0..3..3....0..0..2..1..1
..0..0..2..2..3....0..0..0..1..3....0..0..2..1..3....0..2..0..2..3
..2..2..1..3..3....0..1..3..2..2....0..0..1..3..3....2..0..3..3..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A184665

Row 1 is A223069(n+1)

Formula

Empirical for column k:

k=1: [linear recurrence of order 7]

k=2: [order 20]

Empirical for row n:

n=1: [linear recurrence of order 7]

n=2: [order 22]

n=3: [order 40]

n=4: [order 52]