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A185567 T(n,k)=1/4 the number of nXk 0..3 arrays with no element equal both to the element above and to the element to its left 8

%I #5 Mar 31 2012 12:36:02

%S 1,4,4,16,60,16,64,900,900,64,256,13500,50580,13500,256,1024,202500,

%T 2842560,2842560,202500,1024,4096,3037500,159749820,598507920,

%U 159749820,3037500,4096,16384,45562500,8977824540,126017211780,126017211780

%N T(n,k)=1/4 the number of nXk 0..3 arrays with no element equal both to the element above and to the element to its left

%C Table starts

%C .....1.........4.............16..................64.....................256

%C .....4........60............900...............13500..................202500

%C ....16.......900..........50580.............2842560...............159749820

%C ....64.....13500........2842560...........598507920............126017211780

%C ...256....202500......159749820........126017211780..........99407416968000

%C ..1024...3037500.....8977824540......26533211918040.......78416544382742160

%C ..4096..45562500...504547256880....5586628402633500....61858104930689319360

%C .16384.683437500.28355191537860.1176277376648694960.48796145962555619907720

%H R. H. Hardin, <a href="/A185567/b185567.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for 4X3 with a(1,1)=0

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

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

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

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

%Y Column 2 is 4*A001024(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 31 2011

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)