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A218842 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 nXk array.

%I A218842 #6 Jul 23 2025 00:07:02
%S A218842 1,2,1,4,7,1,7,20,21,1,12,57,93,65,1,21,156,453,436,200,1,37,438,2050,
%T A218842 3617,2043,616,1,65,1220,9516,26635,28888,9573,1897,1,114,3398,44129,
%U A218842 201960,346501,230726,44857,5842,1,200,9468,204780,1530846,4299802
%N A218842 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 nXk array.
%C A218842 Table starts
%C A218842 .1......2.........4...........7.............12...............21
%C A218842 .1......7........20..........57............156..............438
%C A218842 .1.....21........93.........453...........2050.............9516
%C A218842 .1.....65.......436........3617..........26635...........201960
%C A218842 .1....200......2043.......28888.........346501..........4299802
%C A218842 .1....616......9573......230726........4507281.........91513161
%C A218842 .1...1897.....44857.....1842766.......58634265.......1948262831
%C A218842 .1...5842....210190....14717828......762745363......41475009100
%C A218842 .1..17991....984904...117548611.....9922198586.....882920599454
%C A218842 .1..55405...4615043...938839259...129073371922...18795714385533
%C A218842 .1.170625..21625074..7498337380..1679056577224..400125250527550
%C A218842 .1.525456.101330329.59887849061.21842080049186.8517908622924528
%H A218842 R. H. Hardin, <a href="/A218842/b218842.txt">Table of n, a(n) for n = 1..160</a>
%e A218842 Some solutions for n=3 k=4
%e A218842 ..0..0..1..0....0..0..1..1....1..0..0..0....1..1..0..0....0..0..1..0
%e A218842 ..0..0..0..1....0..0..0..0....0..0..1..0....1..0..0..0....1..0..0..0
%e A218842 ..0..0..0..1....0..0..0..1....1..0..0..1....0..1..0..0....1..0..0..0
%Y A218842 Row 1 is A005251(n+2)
%K A218842 nonn,tabl
%O A218842 1,2
%A A218842 _R. H. Hardin_ Nov 07 2012