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Number of (n+1) X (3+1) 0..2 arrays with every element both >= and <= some horizontal, diagonal or antidiagonal neighbor.
1

%I #7 May 17 2021 15:23:03

%S 973,44971,2189991,107913855,5322933313,262249675165,12924602609687,

%T 636974571589143,31392224093121163,1547115367969767881,

%U 76247135423218512743,3757719192867286695513,185193231246257132276941

%N Number of (n+1) X (3+1) 0..2 arrays with every element both >= and <= some horizontal, diagonal or antidiagonal neighbor.

%C Column 3 of A232414.

%H R. H. Hardin, <a href="/A232409/b232409.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A232409/a232409.txt">Empirical recurrence of order 64</a>

%F Empirical recurrence of order 64 (see link above).

%e Some solutions for n=2

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

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

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

%Y Cf. A232414.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 23 2013