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

1,1

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

Links

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

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)

Example

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

Crossrefs

Column 1 is A185771

Sequence in context: A186536 A186528 A253294 * A185777 A253482 A186141

Adjacent sequences: A253161 A253162 A253163 * A253165 A253166 A253167

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 28 2014

Status

approved