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A223892 T(n,k)=Number of nXk 0..2 arrays with row sums and column sums unimodal.

%I A223892 #6 Jul 23 2025 04:38:32
%S A223892 3,9,9,22,81,22,46,564,564,46,86,3298,11264,3298,86,148,17048,187103,
%T A223892 187103,17048,148,239,80412,2719602,8878492,2719602,80412,239,367,
%U A223892 353485,35688774,367772497,367772497,35688774,353485,367,541,1469903,432076735
%N A223892 T(n,k)=Number of nXk 0..2 arrays with row sums and column sums unimodal.
%C A223892 Table starts
%C A223892 ...3.......9.........22...........46............86...........148
%C A223892 ...9......81........564.........3298.........17048.........80412
%C A223892 ..22.....564......11264.......187103.......2719602......35688774
%C A223892 ..46....3298.....187103......8878492.....367772497...13710418065
%C A223892 ..86...17048....2719602....367772497...43541049634.4638776041518
%C A223892 .148...80412...35688774..13710418065.4638776041518
%C A223892 .239..353485..432076735.469842794992
%C A223892 .367.1469903.4902528769
%C A223892 .541.5845411
%C A223892 .771
%H A223892 R. H. Hardin, <a href="/A223892/b223892.txt">Table of n, a(n) for n = 1..60</a>
%e A223892 Some solutions for n=3 k=4
%e A223892 ..0..2..1..1....0..0..2..0....1..0..1..0....0..1..0..1....0..0..2..0
%e A223892 ..2..2..1..0....1..2..1..2....2..2..0..1....1..1..2..1....0..1..1..2
%e A223892 ..2..2..0..1....1..2..1..2....2..1..2..0....2..2..2..2....1..1..2..1
%Y A223892 Column 1 is A223718
%K A223892 nonn,tabl
%O A223892 1,1
%A A223892 _R. H. Hardin_ Mar 28 2013