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Number of n X n 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
0

%I #6 Aug 20 2020 11:47:51

%S 1,5,29,203,1961,46079,1454613,62334085,3652793090,396573816796,

%T 69941377742308,18134969889221510,6588551772384992388,

%U 3921248690493143791628,3850994691538742533588713

%N Number of n X n 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Diagonal of A301884.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301884.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 28 2018