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Number of n X 3 0..7 arrays with every row and column running average nondecreasing rightwards and downwards.
1

%I #7 May 04 2023 12:19:57

%S 154,7370,317656,12904303,501622631,18836416881,688892422045,

%T 24679562321720,870010030574894,30274045926194001,1042315568516067529,

%U 35569907932628823872,1204745819326637993000,40540325062931324645529

%N Number of n X 3 0..7 arrays with every row and column running average nondecreasing rightwards and downwards.

%C Column 3 of A200713.

%H R. H. Hardin, <a href="/A200709/b200709.txt">Table of n, a(n) for n = 1..23</a>

%e Some solutions for n=4

%e ..0..4..7....0..0..3....0..0..1....0..0..1....0..0..0....0..2..2....0..2..2

%e ..0..4..7....0..0..5....0..4..3....0..0..4....0..2..1....0..2..7....0..4..7

%e ..0..6..7....0..4..6....0..2..3....0..0..5....0..4..3....0..4..6....0..4..7

%e ..1..6..7....0..3..7....0..5..3....2..2..7....0..5..4....0..4..5....0..6..6

%Y Cf. A200713.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 20 2011