A205072 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors

16, 40, 40, 98, 64, 98, 238, 90, 90, 238, 584, 146, 144, 146, 584, 1432, 244, 220, 220, 244, 1432, 3516, 386, 347, 376, 347, 386, 3516, 8622, 638, 524, 528, 528, 524, 638, 8622, 21158, 1018, 850, 784, 856, 784, 850, 1018, 21158, 51894, 1666, 1268, 1192

Offset

1,1

Comments

Table starts

...16...40...98..238..584.1432.3516.8622.21158.51894.127322.312310.766198

...40...64...90..146..244..386..638.1018..1666..2676...4360...7024..11418

...98...90..144..220..347..524..850.1268..2048..3060...4942...7388..11938

..238..146..220..376..528..784.1192.1792..2744..4140...6288...9468..14376

..584..244..347..528..856.1232.1852.2640..4056..5776...8948..12784..19776

.1432..386..524..784.1232.1984.2752.3936..5728..8288..12160..17872..26240

.3516..638..850.1192.1852.2752.4480.6208..9168.12480..18688..25664..38832

.8622.1018.1268.1792.2640.3936.6208.9856.13568.18944..26752..37632..53760

Links

R. H. Hardin, Table of n, a(n) for n = 1..1299

Example

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

Crossrefs

Sequence in context: A197603 A144448 A070584 * A185798 A253698 A185769

Adjacent sequences: A205069 A205070 A205071 * A205073 A205074 A205075

Keyword

nonn,tabl

Author

R. H. Hardin Jan 21 2012

Status

approved