login
Number of 7Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors not equal to itself.
1

%I #4 Dec 19 2015 11:17:35

%S 1,1,182,21,1,101,422,182,157,705,1843,2314,4008,10135,19799,33914,

%T 65289,137630,279692,520563,1024841,2188861,4505552,9236561,20249904,

%U 46319712,105176183,245657647,607107735,1544002056,3915562512,10204790125

%N Number of 7Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors not equal to itself.

%C Row 7 of A265991.

%H R. H. Hardin, <a href="/A265997/b265997.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

%e ..1..1..1..1....1..1..4..2....1..1..4..2....1..1..3..2....1..1..4..2

%e ..1..3..3..1....1..3..3..1....1..3..3..1....1..3..4..2....1..3..3..2

%e ..1..1..1..1....2..4..1..1....1..1..1..1....2..3..3..2....2..4..3..2

%e ..1..3..3..1....1..1..3..1....1..4..3..1....2..4..3..1....2..3..4..1

%e ..2..4..1..1....1..3..1..1....2..3..1..1....2..3..1..1....1..1..1..1

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

%Y Cf. A265991.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 19 2015