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%I #4 Dec 21 2015 12:31:35
%S 1,61,385,572,3851,44623,347576,1650710,12360130,106235031,807578953,
%T 5406175833,41246496374,328408364493,2509089355110,18435763834038,
%U 141054581587168,1100340622468942,8442342552511565,63751061176641632
%N Number of 4Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.
%C Row 4 of A266131.
%H R. H. Hardin, <a href="/A266134/b266134.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..0..1..1..0....0..0..0..0....1..0..1..2....1..2..0..1....2..1..1..0
%e ..2..3..2..2....1..2..2..0....1..1..1..2....1..0..2..0....0..1..1..2
%e ..2..1..1..0....1..1..0..1....1..1..0..1....2..1..0..0....1..2..2..1
%e ..2..1..0..1....1..0..2..0....1..0..2..0....2..1..2..0....0..0..0..0
%Y Cf. A266131.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 21 2015