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A219441 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array 11

%I

%S 1,2,1,4,6,1,7,18,18,1,12,39,78,47,1,21,96,281,329,134,1,37,225,1072,

%T 1750,1396,373,1,65,543,4033,10157,11283,5925,1035,1,114,1293,15255,

%U 57249,98584,72272,25147,2889,1,200,3096,57963,326938,844553,952625

%N T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array

%C Table starts

%C .1......2........4..........7...........12............21.............37

%C .1......6.......18.........39...........96...........225............543

%C .1.....18.......78........281.........1072..........4033..........15255

%C .1.....47......329.......1750........10157.........57249.........326938

%C .1....134.....1396......11283........98584........844553........7285283

%C .1....373.....5925......72272.......952625......12323337......160436482

%C .1...1035....25147.....465400......9230353.....180983751.....3553813654

%C .1...2889...106731....2995163.....89418051....2656615237....78682793897

%C .1...8050...452984...19264275....865738604...38958452805..1739719764661

%C .1..22420..1922547..123892153...8382034095..571246999054.38456568548417

%C .1..62477..8159665..796864416..81160468697.8377493560653

%C .1.174072.34631193.5125652937.785871654803

%H R. H. Hardin, <a href="/A219441/b219441.txt">Table of n, a(n) for n = 1..143</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is A218759

%Y Row 1 is A005251(n+2)

%Y Row 2 is A219143

%Y Row 3 is A219144

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 20 2012

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Last modified July 28 00:54 EDT 2021. Contains 346316 sequences. (Running on oeis4.)