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Number of n X n 0..3 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other
0

%I #6 Dec 18 2015 18:17:55

%S 4,2,52,112,4544,16334,1129682,5464208,458459214,2605975384,

%T 253569083138,1617730690396

%N Number of n X n 0..3 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other

%C Diagonal of A201451

%e Some solutions for n=6

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 01 2011