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Number of (n+2)X(3+2) 0..3 arrays with no increasing sequence of length 3 horizontally, vertically, diagonally downwards or antidiagonally downwards
1

%I #4 Dec 15 2013 05:12:08

%S 336085716,153005653333,64757179869158,27085905767473141,

%T 11212752865793034944,4631460210359384478490,

%U 1910166828569356248670720,787520591294663746255808417,324604863253952019036640374588

%N Number of (n+2)X(3+2) 0..3 arrays with no increasing sequence of length 3 horizontally, vertically, diagonally downwards or antidiagonally downwards

%C Column 3 of A233705

%H R. H. Hardin, <a href="/A233703/b233703.txt">Table of n, a(n) for n = 1..103</a>

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2013