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

1,1

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

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]

Example

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

Crossrefs

Sequence in context: A284236 A284300 A284348 * A234753 A205610 A159484

Adjacent sequences: A234757 A234758 A234759 * A234761 A234762 A234763

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 30 2013

Status

approved