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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 18 18:47 EDT 2021. Contains 348068 sequences. (Running on oeis4.)