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A220386 T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..1 nXk array.

%I A220386 #6 Jul 24 2025 19:40:31
%S A220386 1,2,1,4,7,1,7,25,21,1,12,79,136,65,1,21,278,757,753,200,1,37,966,
%T A220386 5114,7462,4160,616,1,65,3362,33247,96772,73066,22989,1897,1,114,
%U A220386 11642,211944,1191846,1829169,715412,127037,5842,1,200,40375,1358599,14300020
%N A220386 T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..1 nXk array.
%C A220386 Table starts
%C A220386 .1......2.........4...........7............12.............21..............37
%C A220386 .1......7........25..........79...........278............966............3362
%C A220386 .1.....21.......136.........757..........5114..........33247..........211944
%C A220386 .1.....65.......753........7462.........96772........1191846........14300020
%C A220386 .1....200......4160.......73066.......1829169.......42415575.......953142266
%C A220386 .1....616.....22989......715412......34521416.....1509240923.....63512364783
%C A220386 .1...1897....127037.....7003040.....651568437....53692543412...4230913273170
%C A220386 .1...5842....702009....68557435...12297040231..1910141303899.281832304026762
%C A220386 .1..17991...3879313...671141189..232084431547.67952729355483
%C A220386 .1..55405..21437148..6570141318.4380156648582
%C A220386 .1.170625.118462034.64318370539
%C A220386 .1.525456.654623158
%H A220386 R. H. Hardin, <a href="/A220386/b220386.txt">Table of n, a(n) for n = 1..110</a>
%e A220386 Some solutions for n=3 k=4
%e A220386 ..0..0..1..0....1..1..1..0....1..1..1..1....1..1..0..0....1..1..1..1
%e A220386 ..0..1..1..0....0..1..0..0....0..1..1..1....1..1..0..0....0..1..1..1
%e A220386 ..0..1..0..0....1..0..0..1....1..1..0..1....1..1..0..0....0..0..0..0
%Y A220386 Column 2 is A218836
%Y A220386 Row 1 is A005251(n+2)
%K A220386 nonn,tabl
%O A220386 1,2
%A A220386 _R. H. Hardin_ Dec 13 2012