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Number of n X n 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.
1

%I #7 Apr 20 2020 00:04:51

%S 1,1,4,17,289,15999,1728734,476725579,338788296901,600144995821877,

%T 2721126689318370799,31005436248594896441733,

%U 885614872309613750483721526,63247599647658758935122240950370,11261549689102506355299411976654023890

%N Number of n X n 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Diagonal of A302150.

%H R. H. Hardin, <a href="/A302145/b302145.txt">Table of n, a(n) for n = 1..16</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302150.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 02 2018