A253164 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum differing from its neighbors horizontally, vertically and nw-se diagonally.

81, 558, 558, 3844, 5136, 3844, 26784, 46752, 46752, 26784, 186624, 443362, 555842, 443362, 186624, 1296000, 4189216, 7252320, 7252320, 4189216, 1296000, 9000000, 39478862, 92998506, 135741428, 92998506, 39478862, 9000000, 62568000

Offset: 1

Author

R. H. Hardin, Dec 28 2014

Keywords

• nonn
• tabl

Comments

Table starts

.........81.........558.........3844........26784........186624.......1296000

........558........5136........46752.......443362.......4189216......39478862

.......3844.......46752.......555842......7252320......92998506....1190692584

......26784......443362......7252320....135741428....2461955138...44789509812

.....186624.....4189216.....92998506...2461955138...62954425188.1612778665632

....1296000....39478862...1190692584..44789509812.1612778665632

....9000000...371551030..15179218714.808045500430

...62568000..3500351616.194198939906

..434972736.32968666098

.3022785216

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60

Crossrefs

Column 1 is A185771

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) +96*a(n-3) +504*a(n-4) +792*a(n-5) +2304*a(n-6) -13824*a(n-8) -13824*a(n-9)