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Number of 5Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.
1

%I #4 Dec 21 2015 12:32:18

%S 1,189,2099,4336,62104,1285961,16386099,124675418,1670106261,

%T 27030614673,364728678843,4110151431884,55582288536407,

%U 820578817704699,11258792567726911,142486826279283951,1934013157303232327

%N Number of 5Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

%C Row 5 of A266131.

%H R. H. Hardin, <a href="/A266135/b266135.txt">Table of n, a(n) for n = 1..83</a>

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A266131.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 21 2015