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A221873 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without consecutive moves in the same direction 4

%I #4 Jan 28 2013 04:14:06

%S 0,1,1,0,20,0,1,162,162,1,0,1442,2847,1442,0,1,12688,109441,109441,

%T 12688,1,0,110720,2902629,14388224,2902629,110720,0,1,970828,89325897,

%U 1572414124,1572414124,89325897,970828,1,0,8489090,2568285560

%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without consecutive moves in the same direction

%C Table starts

%C .0.......1..........0............1............0............1..............0

%C .1......20........162.........1442........12688.......110720.........970828

%C .0.....162.......2847.......109441......2902629.....89325897.....2568285560

%C .1....1442.....109441.....14388224...1572414124.180850094177.20435867743591

%C .0...12688....2902629...1572414124.598006815909

%C .1..110720...89325897.180850094177

%C .0..970828.2568285560

%C .1.8489090

%C .0

%H R. H. Hardin, <a href="/A221873/b221873.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=3 k=4

%e ..0..0..0..2....2..0..0..2....0..1..1..1....0..1..1..0....1..1..1..0

%e ..3..2..2..1....2..2..1..0....3..1..0..3....2..1..0..0....1..3..0..2

%e ..1..0..1..0....1..0..1..1....0..1..1..0....1..2..3..1....1..1..0..1

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Jan 28 2013

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Last modified June 15 13:08 EDT 2024. Contains 373407 sequences. (Running on oeis4.)