A187940 T(n,k)=Number of (n+2)X(k+2) binary arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum

48, 44, 44, 304, 104, 304, 784, 704, 704, 784, 3188, 2532, 7616, 2532, 3188, 10296, 14308, 50802, 50802, 14308, 10296, 38020, 64024, 435194, 544222, 435194, 64024, 38020, 131184, 328116, 3394156, 7443374, 7443374, 3394156, 328116, 131184

Offset

1,1

Comments

Table starts

......48......44.......304........784.......3188......10296.......38020

......44.....104.......704.......2532......14308......64024......328116

.....304.....704......7616......50802.....435194....3394156....27734942

.....784....2532.....50802.....544222....7443374...94215422..1239704056

....3188...14308....435194....7443374..167909728.3490809390.75359054474

...10296...64024...3394156...94215422.3490809390

...38020..328116..27734942.1239704056

..131184.1509288.222519352

..470896.7610052

.1657548

Links

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

Example

Some solutions for 5X4
..0..1..0..1....1..0..1..0....1..0..1..1....1..0..1..0....1..0..1..0
..0..1..0..1....0..0..0..0....0..1..0..0....1..1..1..1....0..0..0..0
..0..1..0..1....0..1..0..1....1..0..1..1....0..1..0..1....1..0..1..0
..0..1..1..1....1..1..1..1....0..1..1..1....1..1..1..1....0..0..0..0
..1..1..0..1....1..0..1..0....1..1..1..0....1..0..1..0....0..1..0..1

Crossrefs

Sequence in context: A156461 A347557 A300143 * A187932 A165869 A121377

Adjacent sequences: A187937 A187938 A187939 * A187941 A187942 A187943

Keyword

nonn,tabl

Author

R. H. Hardin Mar 16 2011

Status

approved