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Number of (4+2)X(n+2) 0..3 arrays with no increasing sequence of length 3 horizontally, vertically or antidiagonally downwards
1

%I #4 Dec 16 2013 07:04:39

%S 16782644101,27653665556487,46594846574940781,78542994416390783342,

%T 132318298848376805531946,222935839343784897773273911,

%U 375555486188700515616776141951,632680342441270659349165986415677

%N Number of (4+2)X(n+2) 0..3 arrays with no increasing sequence of length 3 horizontally, vertically or antidiagonally downwards

%C Row 4 of A233801

%H R. H. Hardin, <a href="/A233805/b233805.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=1

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2013