A205422 T(n,k)=Number of (n+1)X(k+1) 0..3 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

256, 2768, 2768, 31216, 62716, 31216, 345008, 1448498, 1448498, 345008, 3855292, 33701202, 74565586, 33701202, 3855292, 42869296, 782598960, 3739413082, 3739413082, 782598960, 42869296, 477932092, 18167227774, 189526149374

Offset

1,1

Comments

Table starts

........256..........2768...........31216...........345008..........3855292

.......2768.........62716.........1448498.........33701202........782598960

......31216.......1448498........74565586.......3739413082.....189526149374

.....345008......33701202......3739413082.....399249906572...42562692150766

....3855292.....782598960....189526149374...42562692150766.9958775794360374

...42869296...18167227774...9487785520264.4558547882869512

..477932092..421657055138.479223390230911

.5320759096.9789425083082

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

Some solutions for n=4 k=3
..3..2..2..0....1..2..0..0....3..2..0..1....2..1..1..0....0..3..3..3
..2..3..0..0....1..0..2..3....0..3..0..1....2..0..3..0....2..1..3..2
..1..0..3..0....0..1..3..2....0..0..1..2....0..2..3..0....2..2..3..3
..3..1..2..3....0..0..1..0....2..2..2..1....0..3..1..1....2..0..1..0
..3..3..0..0....1..1..2..3....3..1..3..1....1..0..0..2....1..1..2..1

Crossrefs

Sequence in context: A236593 A236319 A236315 * A205417 A236127 A236124

Adjacent sequences: A205419 A205420 A205421 * A205423 A205424 A205425

Keyword

nonn,tabl

Author

R. H. Hardin Jan 27 2012

Status

approved