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A223885 T(n,k)=Number of nXk 0..2 arrays with row sums unimodal and column sums inverted unimodal.

%I A223885 #6 Jul 23 2025 04:38:18
%S A223885 3,9,9,22,81,22,46,564,564,46,86,3298,11250,3298,86,148,17048,187019,
%T A223885 187019,17048,148,239,80412,2718572,8872648,2718572,80412,239,367,
%U A223885 353485,35673854,367614623,367614623,35673854,353485,367,541,1469903,431939504
%N A223885 T(n,k)=Number of nXk 0..2 arrays with row sums unimodal and column sums inverted unimodal.
%C A223885 Table starts
%C A223885 ...3.......9.........22...........46............86...........148
%C A223885 ...9......81........564.........3298.........17048.........80412
%C A223885 ..22.....564......11250.......187019.......2718572......35673854
%C A223885 ..46....3298.....187019......8872648.....367614623...13705619321
%C A223885 ..86...17048....2718572....367614623...43524907508.4637374623582
%C A223885 .148...80412...35673854..13705619321.4637374623582
%C A223885 .239..353485..431939504.469700382368
%C A223885 .367.1469903.4901224903
%C A223885 .541.5845411
%C A223885 .771
%H A223885 R. H. Hardin, <a href="/A223885/b223885.txt">Table of n, a(n) for n = 1..60</a>
%e A223885 Some solutions for n=3 k=4
%e A223885 ..1..0..1..2....0..1..0..2....1..1..0..1....1..1..0..0....1..0..2..1
%e A223885 ..2..1..1..1....2..2..1..1....1..1..1..0....2..2..1..1....0..2..1..1
%e A223885 ..2..0..0..2....2..0..2..1....0..0..1..0....1..1..2..2....2..2..1..2
%Y A223885 Column 1 is A223718
%K A223885 nonn,tabl
%O A223885 1,1
%A A223885 _R. H. Hardin_ Mar 28 2013