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A221499 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..3 nXk array.

%I A221499 #6 Jul 23 2025 01:59:29
%S A221499 1,2,1,4,7,1,7,33,21,1,12,119,228,65,1,21,457,1733,1561,200,1,37,1710,
%T A221499 14297,24485,10648,616,1,65,6466,111042,420022,345755,72625,1897,1,
%U A221499 114,24433,874106,6665056,12253352,4882030,495329,5842,1,200,92196,6765307
%N A221499 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..3 nXk array.
%C A221499 Table starts
%C A221499 .1......2.........4...........7...........12............21............37
%C A221499 .1......7........33.........119..........457..........1710..........6466
%C A221499 .1.....21.......228........1733........14297........111042........874106
%C A221499 .1.....65......1561.......24485.......420022.......6665056.....107190767
%C A221499 .1....200.....10648......345755.....12253352.....395300442...12890161742
%C A221499 .1....616.....72625.....4882030....356799776...23379869304.1542965772979
%C A221499 .1...1897....495329....68933905..10385011060.1381866811158
%C A221499 .1...5842...3378333...973340015.302233979821
%C A221499 .1..17991..23041525.13743460075
%C A221499 .1..55405.157152036
%C A221499 .1.170625
%C A221499 .1
%H A221499 R. H. Hardin, <a href="/A221499/b221499.txt">Table of n, a(n) for n = 1..83</a>
%e A221499 Some solutions for n=3 k=4
%e A221499 ..0..0..1..1....0..0..0..0....1..1..1..1....0..0..0..0....1..1..1..0
%e A221499 ..1..1..0..1....1..0..0..1....1..0..1..0....0..0..1..1....0..1..1..1
%e A221499 ..0..0..1..1....1..0..0..1....1..0..0..1....1..1..1..1....0..0..1..1
%Y A221499 Column 2 is A218836
%Y A221499 Column 3 is A221030
%Y A221499 Column 4 is A221031
%Y A221499 Row 1 is A005251(n+2)
%Y A221499 Row 2 is A221036
%K A221499 nonn,tabl
%O A221499 1,2
%A A221499 _R. H. Hardin_ Jan 18 2013