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Number of n X 6 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors.
1

%I #6 Jun 09 2023 22:02:03

%S 44,715,11250,197892,3303160,55930891,945547378,15974465522,

%T 270001575386,4562926495008,77113775445989,1303228422528653,

%U 22024606537610969,372217002993636208,6290485093963915590,106309502606030699274

%N Number of n X 6 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors.

%C Column 6 of A282862.

%H R. H. Hardin, <a href="/A282860/b282860.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A282860/a282860.txt">Empirical recurrence of order 85</a>

%F Empirical recurrence of order 85 (see link above).

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282862.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 23 2017