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Number of n X n 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing.
0

%I #7 Oct 01 2021 17:18:57

%S 3,36,666,14123,319156,7526024,183720802,4620831232,119279565646,

%T 3149193338709,84781194626719,2321280055370071,64493788929080253,

%U 1814933493902398900,51651065174273533812

%N Number of n X n 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing.

%C Diagonal of A223918.

%e Some solutions for n=3

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

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

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

%Y Cf. A223918.

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 29 2013