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Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 3 neighboring 1's.
1

%I #7 Apr 19 2020 23:54:10

%S 1,11,228,16524,4254377,3553672817,10046940260800,95593682736547484,

%T 3048748598852691707372,326806923379819512235330165,

%U 117671612236955708975981838902711

%N Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 3 neighboring 1's.

%C Diagonal of A296599.

%H R. H. Hardin, <a href="/A296592/b296592.txt">Table of n, a(n) for n = 1..12</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A296599.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 16 2017