A253294 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock sum differing from its neighbors horizontally, vertically, diagonally and antidiagonally.

81, 558, 558, 3844, 3600, 3844, 26784, 23546, 23546, 26784, 186624, 167832, 140536, 167832, 186624, 1296000, 1184928, 1029888, 1029888, 1184928, 1296000, 9000000, 8243488, 7431136, 8153960, 7431136, 8243488, 9000000, 62568000, 57474376

Offset: 1

Author

R. H. Hardin, Dec 29 2014

Keywords

• nonn
• tabl

Comments

Table starts

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

........558........3600........23546.......167832......1184928......8243488

.......3844.......23546.......140536......1029888......7431136.....52784020

......26784......167832......1029888......8153960.....61286116....465921688

.....186624.....1184928......7431136.....61286116....486417836...4028778100

....1296000.....8243488.....52784020....465921688...4028778100..36312321352

....9000000....57474376....376392916...3524494796..32585471254.317292582684

...62568000...402165016...2705942488..26879615668.268974784168

..434972736..2811886280..19441124904.204459584768

.3022785216.19648735840.139538118106

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..84

Crossrefs

Column 1 is A185771.

Formula

Empirical for column k:

k=1: [linear recurrence of order 9];

k=2: [order 40].