A220562 T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly one horizontal or antidiagonal neighbor.

1, 2, 1, 3, 5, 1, 5, 14, 13, 1, 8, 47, 64, 34, 1, 13, 149, 430, 292, 89, 1, 21, 481, 2604, 3966, 1332, 233, 1, 34, 1544, 16310, 45966, 36640, 6076, 610, 1, 55, 4965, 101052, 561636, 810778, 338581, 27716, 1597, 1, 89, 15957, 628269, 6743873, 19333688, 14298089

Offset: 1

Author

R. H. Hardin Dec 16 2012

Keywords

• nonn
• tabl

Comments

Table starts

.1.....2........3............5...............8..................13

.1.....5.......14...........47.............149.................481

.1....13.......64..........430............2604...............16310

.1....34......292.........3966...........45966..............561636

.1....89.....1332........36640..........810778............19333688

.1...233.....6076.......338581........14298089...........665748170

.1...610....27716......3128843.......252139015.........22926570957

.1..1597...126428.....28913910......4446314533........789539775889

.1..4181...576708....267196106.....78407942556......27190037181789

.1.10946..2630684...2469184016...1382674335890.....936366170726784

.1.28657.12000004..22817958901..24382584703194...32246430390993213

.1.75025.54738652.210862878471.429971411669361.1110497486239608510

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..337

Crossrefs

Column 2 is A001519(n+1)

Column 3 is A060801

Row 1 is A000045(n+1)