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

%I #4 Dec 21 2013 00:43:10

%S 19573980484,37949401327593,70353014214072836,129683995610190417732,

%T 238102482801724403487709,436823007569342869436428517,

%U 801056637867130701618124617385,1468854073796612633425025864744824

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

%C Column 4 of A234196

%H R. H. Hardin, <a href="/A234194/b234194.txt">Table of n, a(n) for n = 1..84</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..0..0..0

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2013