A234760 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

110, 1014, 1014, 8968, 26642, 8968, 80010, 646036, 646036, 80010, 712722, 15939010, 41065150, 15939010, 712722, 6350732, 392044622, 2683721676, 2683721676, 392044622, 6350732, 56585338, 9648827736, 174451064914, 469243923298

Offset: 1

Author

R. H. Hardin, Dec 30 2013

Keywords

• nonn
• tabl

Comments

Table starts

.....110.......1014...........8968.............80010...............712722

....1014......26642.........646036..........15939010............392044622

....8968.....646036.......41065150........2683721676.........174451064914

...80010...15939010.....2683721676......469243923298.......81436516016562

..712722..392044622...174451064914....81436516016562....37650372740746368

.6350732.9648827736.11352560005654.14155719250115192.17443322778721788150

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) +10*a(n-2) -16*a(n-3) -8*a(n-4) +4*a(n-5) +a(n-6)

k=2: [order 17]

k=3: [order 55]