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Number of n X n 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #7 Apr 19 2020 23:59:25

%S 0,3,75,6638,2244335,2875574552,13930396115571,255391114062230046,

%T 17719358335864533713147,4652507709547839626397575180,

%U 4622990422099585649225050467889127

%N Number of n X n 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Diagonal of A300930.

%H R. H. Hardin, <a href="/A300924/b300924.txt">Table of n, a(n) for n = 1..12</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300930.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 15 2018