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Number of 4Xn arrays containing n copies of 0..4-1 with no equal diagonal or antidiagonal neighbors and new values introduced sequentially from 0.
1

%I #6 Aug 12 2016 06:53:58

%S 1,43,1129,39913,1465545,56069313,2233380101,90910542367,

%T 3781693498707,159766749887717,6840968180271233,296179445221357883,

%U 12943965113650046445,570298650928292714341,25303264564126389894725

%N Number of 4Xn arrays containing n copies of 0..4-1 with no equal diagonal or antidiagonal neighbors and new values introduced sequentially from 0.

%C Row 4 of A265656.

%H R. H. Hardin, <a href="/A265658/b265658.txt">Table of n, a(n) for n = 1..18</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A265656.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 12 2015