A220553 T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly one horizontal, vertical or antidiagonal neighbor.

1, 2, 2, 3, 8, 3, 5, 29, 29, 5, 8, 108, 224, 108, 8, 13, 401, 1814, 1814, 401, 13, 21, 1490, 14556, 32173, 14556, 1490, 21, 34, 5536, 117022, 565061, 565061, 117022, 5536, 34, 55, 20569, 940432, 9943416, 21668208, 9943416, 940432, 20569, 55, 89, 76424

Offset: 1

Author

R. H. Hardin Dec 15 2012

Keywords

• nonn
• tabl

Comments

Table starts

...1.......2...........3...............5...................8

...2.......8..........29.............108.................401

...3......29.........224............1814...............14556

...5.....108........1814...........32173..............565061

...8.....401.......14556..........565061............21668208

..13....1490......117022.........9943416...........832899775

..21....5536......940432.......174911750.........32001129185

..34...20569.....7558245......3077034244.......1229633337183

..55...76424....60744605.....54130248568......47247493674864

..89..283953...488197825....952245176313....1815445803499208

.144.1055026..3923590632..16751640356635...69756959373004005

.233.3919944.31533457665.294690365449276.2680352078247056300

Examples

			Some solutions for n=3 k=4 0=self 2=n 3=ne 4=w 6=e 7=sw 8=s (reciprocal directions total 10)
..8..8..0..7....0..6..4..0....0..0..6..4....6..4..7..0....0..0..0..0
..2..2..3..0....0..7..0..7....0..0..6..4....0..3..8..0....8..0..0..8
..0..0..6..4....3..0..3..0....0..0..6..4....0..0..2..0....2..6..4..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..312

Crossrefs

Column 1 is A000045(n+1)