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Number of (n+1) X (4+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.
1

%I #6 Oct 19 2021 22:00:48

%S 51,1867,41046,721939,13265123,261676376,5206684654,102053610873,

%T 1987295524193,38770223731701,758012281434166,14822685184195262,

%U 289709710098420174,5661329642092072222,110637907561833470425

%N Number of (n+1) X (4+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

%C Column 4 of A238323.

%H R. H. Hardin, <a href="/A238319/b238319.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%Y Cf. A238323.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 24 2014