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A209224 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 1 1 vertically 10

%I #5 Mar 31 2012 12:37:28

%S 2,4,4,6,16,6,9,36,36,9,15,81,60,81,13,25,225,100,126,169,19,40,625,

%T 240,196,234,361,28,64,1600,576,504,324,456,784,41,104,4096,1296,1296,

%U 900,576,896,1681,60,169,10816,2916,3312,2500,1776,1024,1722,3600,88,273

%N T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 1 1 vertically

%C Table starts

%C ..2....4....6....9...15....25....40.....64.....104.....169......273......441

%C ..4...16...36...81..225...625..1600...4096...10816...28561....74529...194481

%C ..6...36...60..100..240...576..1296...2916....6804...15876....36288....82944

%C ..9...81..126..196..504..1296..3312...8464...21712...55696...142544...364816

%C .13..169..234..324..900..2500..6900..19044...52992..147456...407808..1127844

%C .19..361..456..576.1776..5476.15984..46656..143856..443556..1312020..3880900

%C .28..784..896.1024.3456.11664.38232.125316..423384.1430416..4755296.15808576

%C .41.1681.1722.1764.6300.22500.80400.287296.1037696.3748096.13540384.48916036

%H R. H. Hardin, <a href="/A209224/b209224.txt">Table of n, a(n) for n = 1..884</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A000930(n+3)

%Y Column 2 is A207170

%Y Column 3 is A208496

%Y Row 1 is A006498(n+2)

%Y Row 2 is A189145(n+2)

%Y Row 3 is A207694

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 06 2012

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)