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Number of (n+1)X(4+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction
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%I #4 Nov 29 2014 17:25:27

%S 21720,308423,3433899,32439684,279055227,2247957615,17355955112,

%T 130154155397,957718964643,6961339210825,50231364173275,

%U 361033974954169,2590903481902197,18593763503880057,133579469806293855

%N Number of (n+1)X(4+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

%C Column 4 of A251037

%H R. H. Hardin, <a href="/A251033/b251033.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014