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A221035 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..2 nXk array.

%I A221035 #6 Jul 23 2025 01:38:49
%S A221035 1,2,1,4,7,1,7,33,21,1,12,119,228,65,1,21,457,1733,1561,200,1,37,1710,
%T A221035 14277,24485,10648,616,1,65,6466,110506,419506,345755,72625,1897,1,
%U A221035 114,24433,870027,6637755,12239631,4882030,495329,5842,1,200,92196,6717882
%N A221035 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..2 nXk array.
%C A221035 Table starts
%C A221035 .1......2.........4...........7...........12............21............37
%C A221035 .1......7........33.........119..........457..........1710..........6466
%C A221035 .1.....21.......228........1733........14277........110506........870027
%C A221035 .1.....65......1561.......24485.......419506.......6637755.....106761517
%C A221035 .1....200.....10648......345755.....12239631.....393788081...12843452050
%C A221035 .1....616.....72625.....4882030....356411031...23287585899.1537391091350
%C A221035 .1...1897....495329....68933905..10373626389.1376083439034
%C A221035 .1...5842...3378333...973340015.301896920812
%C A221035 .1..17991..23041525.13743460075
%C A221035 .1..55405.157152036
%C A221035 .1.170625
%C A221035 .1
%H A221035 R. H. Hardin, <a href="/A221035/b221035.txt">Table of n, a(n) for n = 1..82</a>
%e A221035 Some solutions for n=3 k=4
%e A221035 ..1..1..0..1....1..1..0..1....0..1..1..1....0..0..0..1....0..1..0..1
%e A221035 ..1..0..1..0....1..0..1..0....1..1..0..1....1..0..0..0....1..1..1..0
%e A221035 ..1..1..1..1....0..0..0..0....0..0..1..0....1..1..0..1....1..1..0..1
%Y A221035 Column 2 is A218836
%Y A221035 Row 1 is A005251(n+2)
%K A221035 nonn,tabl
%O A221035 1,2
%A A221035 _R. H. Hardin_ Dec 29 2012