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

%I #6 Jan 15 2022 22:14:10

%S 15181195220,22080932709668,29152990437729687,37843512136217016443,

%T 48410484594138550226073,61714352447379056742706212,

%U 78497692060915241678261253880,99782362522642396752387266566012

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

%C Column 4 of A233705.

%H R. H. Hardin, <a href="/A233704/b233704.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=1

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

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

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

%Y Cf. A233705.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2013