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Number of n X n 0..3 arrays with rows unimodal and columns nondecreasing
1

%I #6 Dec 18 2015 18:18:33

%S 4,100,5029,358118,31831914,3322756326,392525216516,51162688962195,

%T 7224066705841458,1089938030989276020,173886286002145386302,

%U 29095306392044768817550,5072863442986308208335738

%N Number of n X n 0..3 arrays with rows unimodal and columns nondecreasing

%C Diagonal of A223987

%H R. H. Hardin, <a href="/A223981/b223981.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=3

%e ..0..2..1....0..2..0....0..1..2....0..3..1....1..1..2....0..2..0....1..3..0

%e ..2..2..1....1..3..0....0..1..2....1..3..3....1..1..2....0..2..1....2..3..0

%e ..2..2..2....1..3..3....2..2..3....1..3..3....3..2..2....0..3..3....2..3..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 30 2013