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

%I #7 Dec 18 2015 18:17:55

%S 2,2,6,8,40,58,338,526,3334,5448,36168,61108,417920,723354,5054148,

%T 8908546,63260780,113093022,813360930,1470597342,10685501398,

%U 19499227828,142885700222,262754984020,1939096937920,3589093760726,26647143177214

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

%C Diagonal of A201503

%H R. H. Hardin, <a href="/A201499/b201499.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 02 2011