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Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 13 2018 07:42:19

%S 8,128,1672,23096,317504,4369224,60123512,827349312,11385017480,

%T 156667360584,2155873946064,29666629068872,408237634914104,

%U 5617691385723248,77304133197516952,1063769545014926728

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A300804.

%H R. H. Hardin, <a href="/A300800/b300800.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +14*a(n-2) -44*a(n-3) -63*a(n-4) +a(n-5) -17*a(n-6) +11*a(n-7) -36*a(n-8) -6*a(n-9) -a(n-10) +a(n-11)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300804.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 13 2018