A221736 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without move-in move-out left turns.

1, 3, 1, 8, 17, 1, 21, 152, 91, 1, 55, 1347, 2904, 489, 1, 144, 11917, 89920, 54888, 2627, 1, 377, 105408, 2756353, 5962648, 1038128, 14113, 1, 987, 932331, 84394752, 635754537, 394328064, 19634240, 75819, 1, 2584, 8246429, 2583450288

Offset: 1

Author

R. H. Hardin Jan 22 2013

Keywords

• nonn
• tabl

Comments

Table starts

.1........3............8..............21...............55...............144

.1.......17..........152............1347............11917............105408

.1.......91.........2904...........89920..........2756353..........84394752

.1......489........54888.........5962648........635754537.......67528875354

.1.....2627......1038128.......394328064.....146259316958....53939764009028

.1....14113.....19634240.....26082119800...33626894167368.43051262023996034

.1....75819....371344456...1725138005232.7731414333006969

.1...407321...7023277960.114104918937179

.1..2188243.132832016296

.1.11755857

.1

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..70

Crossrefs

Row 1 is A001906