A183971 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

81, 459, 459, 2601, 4401, 2601, 15759, 43163, 43163, 15759, 95481, 459821, 746017, 459821, 95481, 586791, 4911675, 14219749, 14219749, 4911675, 586791, 3606201, 53575889, 272110811, 492135291, 272110811, 53575889, 3606201, 22235391

Offset

1,1

Comments

Table starts

........81.........459..........2601..........15759..........95481

.......459........4401.........43163.........459821........4911675

......2601.......43163........746017.......14219749......272110811

.....15759......459821......14219749......492135291....17133244697

.....95481.....4911675.....272110811....17133244697..1088246684231

....586791....53575889....5344196941...615149254565.71600778588343

...3606201...584520435..105022040225.22112885527475

..22235391..6415409881.2080498882227

.137100681.70404186587

.845893287

Links

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

Example

Some solutions for 3X3
..1..1..2....1..1..1....2..1..1....1..1..1....1..2..0....1..2..1....1..0..0
..2..2..0....0..0..0....1..2..2....0..1..0....0..1..1....1..1..1....2..2..2
..0..2..2....1..1..0....2..0..2....1..1..1....2..0..1....2..1..1....2..0..1
...
...6..5.......2..2.......6..6.......3..3.......4..4.......5..5.......5..4...
...6..6.......2..1.......5..6.......3..3.......3..3.......5..4.......6..5...

Crossrefs

Sequence in context: A205208 A236664 A253533 * A253526 A183963 A236354

Adjacent sequences: A183968 A183969 A183970 * A183972 A183973 A183974

Keyword

nonn,tabl

Author

R. H. Hardin Jan 08 2011

Status

approved