A185777 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum

81, 558, 558, 3844, 7074, 3844, 26784, 89118, 89118, 26784, 186624, 1151346, 2046098, 1151346, 186624, 1296000, 14837270, 48744342, 48744342, 14837270, 1296000, 9000000, 190416934, 1154712762, 2171002788, 1154712762, 190416934

Offset

1,1

Comments

Table starts

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

........558.........7074..........89118.........1151346........14837270

.......3844........89118........2046098........48744342......1154712762

......26784......1151346.......48744342......2171002788.....95851024672

.....186624.....14837270.....1154712762.....95851024672...7861640359954

....1296000....190416934....27239862108...4212755548948.641850855452998

....9000000...2442333998...641595944400.184696487434352

...62568000..31384892214.15156754839024

..434972736.403218559222

.3022785216

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for 4X3
..1..2..0....0..2..1....1..1..1....0..2..1....0..0..1....1..2..0....2..2..0
..2..0..1....0..1..1....0..2..1....0..2..2....1..1..2....0..0..0....0..0..1
..1..0..1....0..0..2....0..0..0....0..0..0....0..2..1....1..0..0....2..1..0
..2..2..0....0..0..1....2..1..0....2..2..0....0..1..0....1..1..1....1..2..0

Crossrefs

Sequence in context: A186528 A253294 A253164 * A253482 A186141 A185771

Adjacent sequences: A185774 A185775 A185776 * A185778 A185779 A185780

Keyword

nonn,tabl

Author

R. H. Hardin Feb 03 2011

Status

approved