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Number of n X n 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
1

%I #16 Mar 18 2024 10:36:37

%S 1,3,5,7,85,556,1260,27008,215577,613916,16442049,152673459,487975060,

%T 14392411292,144918917509,496264541787,15559415313705,165127072154120,

%U 592098075114238,19339952787547252,212870280758956694,788675446037414831,26535438036570486429,300014957716483809886

%N Number of n X n 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

%e Some solutions for n=5

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

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

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

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

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

%Y Main diagonal of A201277.

%K nonn

%O 0,2

%A _R. H. Hardin_, Nov 29 2011

%E a(0)=1 prepended and a(19)-a(23) added by _Alois P. Heinz_, Mar 17 2024