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A200801 T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors 8

%I #5 Mar 31 2012 12:36:40

%S 1,2,2,5,15,5,15,178,178,15,51,2614,9880,2614,51,187,40148,583813,

%T 583813,40148,187,715,622645,34679839,132636590,34679839,622645,715,

%U 2795,9676364,2060918000,30147154218,30147154218,2060918000,9676364,2795

%N T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors

%C Table starts

%C .....1...........2.................5......................15

%C .....2..........15...............178....................2614

%C .....5.........178..............9880..................583813

%C ....15........2614............583813...............132636590

%C ....51.......40148..........34679839.............30147154218

%C ...187......622645........2060918000...........6852264918471

%C ...715.....9676364......122478253815........1557479347400065

%C ..2795...150442627.....7278777317468......354005859128023982

%C .11051..2339207390...432571571252989....80463441477635545163

%C .43947.36372631268.25707362563355693.18288865135614195620421

%H Ron Hardin, <a href="/A200801/b200801.txt">Table of n, a(n) for n = 1..97</a>

%e Some solutions for n=5 k=3

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

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

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

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

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

%Y Column 1 is A007581(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 22 2011

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Last modified April 20 03:53 EDT 2024. Contains 371798 sequences. (Running on oeis4.)