A234769 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 but not both

56, 240, 240, 916, 1624, 916, 3800, 9404, 9404, 3800, 14828, 64180, 71280, 64180, 14828, 60552, 398696, 760072, 760072, 398696, 60552, 239044, 2678704, 6340684, 14119456, 6340684, 2678704, 239044, 967784, 17095452, 65760368, 197124696

Offset

1,1

Comments

Table starts

.......56........240..........916............3800.............14828

......240.......1624.........9404...........64180............398696

......916.......9404........71280..........760072...........6340684

.....3800......64180.......760072........14119456.........197124696

....14828.....398696......6340684.......197124696........3638129496

....60552....2678704.....65760368......3593149200......110652181732

...239044...17095452....570633100.....54068454752.....2177670570012

...967784..113639852...5760421980....958972097240....63554604975864

..3845148..734839992..51229946356..15068994560048..1306257181734516

.15493000.4854653704.506912579200.261956551635124.36759444769806576

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +14*a(n-2) -a(n-3) -25*a(n-4) -10*a(n-5)

k=2: [order 13]

k=3: [order 27]

k=4: [order 73]

Example

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

Crossrefs

Sequence in context: A179757 A233989 A233982 * A234762 A239597 A259039

Adjacent sequences: A234766 A234767 A234768 * A234770 A234771 A234772

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 30 2013

Status

approved