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A208175 T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors 7
1, 2, 2, 5, 13, 5, 15, 159, 159, 15, 51, 2277, 8469, 2277, 51, 187, 33831, 473928, 473928, 33831, 187, 715, 506493, 26625693, 99752346, 26625693, 506493, 715, 2795, 7594479, 1496307201, 21002874867, 21002874867, 1496307201, 7594479, 2795, 11051 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1.........2.............5.................15.....................51

....2........13...........159...............2277..................33831

....5.......159..........8469.............473928...............26625693

...15......2277........473928...........99752346............21002874867

...51.....33831......26625693........21002874867.........16567902881244

..187....506493....1496307201......4422202024212......13069424064243420

..715...7594479...84091222866....931104734002155...10309684155118737894

.2795.113908437.4725865313907.196046229442844736.8132690993759302714128

LINKS

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

EXAMPLE

Some solutions for n=4 k=3

..0..0..0....0..0..0....0..1..0....0..1..0....0..1..1....0..0..0....0..0..1

..0..1..2....0..1..0....0..2..2....0..2..3....1..0..0....0..1..1....0..1..0

..1..2..3....1..2..1....1..2..1....3..0..0....0..1..0....1..2..0....0..0..1

..1..0..0....0..1..3....1..3..2....2..1..3....1..0..1....1..0..1....1..1..0

CROSSREFS

Column 1 is A007581(n-1)

Column 2 is A205163(n-1)

Sequence in context: A209054 A209218 A208322 * A078413 A019083 A029856

Adjacent sequences:  A208172 A208173 A208174 * A208176 A208177 A208178

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 24 2012

STATUS

approved

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Last modified May 27 21:14 EDT 2022. Contains 354110 sequences. (Running on oeis4.)