login
Number of 7 X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.
1

%I #6 Aug 08 2023 14:17:34

%S 1,1,102,44,483,1561,10708,62684,145344,253394,1663567,7253158,

%T 20436396,81005594,346203546,1298613540,4729960051,18275111422,

%U 70440272974,267189128408,1008549687107,3827029447559,14623357809480,55686510400311

%N Number of 7 X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.

%C Row 7 of A266012.

%H R. H. Hardin, <a href="/A266017/b266017.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A266012.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 20 2015