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Number of n X n 0..1 arrays with every element equal to 0, 1 or 4 horizontally or vertically adjacent elements, with upper left element zero.
0

%I #6 Aug 20 2020 11:46:55

%S 1,3,6,13,46,254,2335,37679,1036686,47847128,3666918138,462476814296,

%T 95511722707577,32204769674856063,17694312704564808047,

%U 15825068959028242214319

%N Number of n X n 0..1 arrays with every element equal to 0, 1 or 4 horizontally or vertically adjacent elements, with upper left element zero.

%C Diagonal of A301662.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301662.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 25 2018