A185575 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum

256, 3392, 3392, 44944, 125664, 44944, 598688, 4649320, 4649320, 598688, 7974976, 173985944, 480362772, 173985944, 7974976, 106125920, 6508370600, 50465542904, 50465542904, 6508370600, 106125920, 1412256400, 243047375432, 5296925520216

Offset

1,1

Comments

Table starts

........256.........3392.........44944.........598688.......7974976

.......3392.......125664.......4649320......173985944....6508370600

......44944......4649320.....480362772....50465542904.5296925520216

.....598688....173985944...50465542904.14968484411348

....7974976...6508370600.5296925520216

..106125920.243047375432

.1412256400

Links

R. H. Hardin, Table of n, a(n) for n = 1..31

Example

Some solutions for 4X3
..0..0..2....0..0..0....2..0..0....0..0..0....0..2..0....2..2..2....2..0..0
..0..1..3....0..0..3....1..2..2....0..0..3....0..3..3....0..0..3....1..1..2
..2..0..0....0..2..1....0..0..2....2..0..3....0..0..1....2..0..1....2..2..2
..1..2..0....3..1..0....0..1..2....0..2..2....2..0..2....3..2..0....3..0..1

Crossrefs

Sequence in context: A236251 A344304 A070056 * A185933 A185572 A185925

Adjacent sequences: A185572 A185573 A185574 * A185576 A185577 A185578

Keyword

nonn,tabl

Author

R. H. Hardin Jan 31 2011

Status

approved