A251065 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

50, 222, 336, 867, 2740, 2167, 3123, 17129, 31895, 14180, 10660, 89429, 320950, 379440, 92429, 35064, 410718, 2482824, 6182747, 4499219, 603249, 112373, 1716324, 15857764, 71431719, 119032248, 53420941, 3935721, 353517, 6678657, 87634164

Offset: 1

Author

R. H. Hardin, Nov 29 2014

Keywords

• nonn
• tabl

Comments

Table starts

......50.......222.........867..........3123..........10660...........35064

.....336......2740.......17129.........89429.........410718.........1716324

....2167.....31895......320950.......2482824.......15857764........87634164

...14180....379440.....6182747......71431719......641508138......4755605792

...92429...4499219...119032248....2062530658....26192388204....262314968432

..603249..53420941..2295692500...59730054958..1074828860950..14586457826568

.3935721.634161915.44280784440.1731036678270.44184817939580.813777827212550

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180

Crossrefs

Column 1 is A184556

Row 1 is A222993(n+1)

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) +7*a(n-2) -23*a(n-3) -4*a(n-4) +12*a(n-5)

k=2: [order 11]

k=3: [order 39]

Empirical for row n:

n=1: a(n) = 9*a(n-1) -31*a(n-2) +51*a(n-3) -40*a(n-4) +12*a(n-5)

n=2: [order 12]

n=3: [order 21]

n=4: [order 27]

n=5: [order 33]

n=6: [order 39]