A305519 - OEIS

%I #4 Jun 04 2018 11:53:43

%S 8,128,1482,16480,186237,2102155,23747613,268359015,3032800805,

%T 34276734724,387403233851,4378561680838,49488189296483,

%U 559335597308662,6321843211366946,71452123170486735,807581990796222475

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305523.

%H R. H. Hardin, <a href="/A305519/b305519.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +31*a(n-2) -117*a(n-3) -700*a(n-4) -714*a(n-5) +564*a(n-6) +2057*a(n-7) +1648*a(n-8) -216*a(n-9) -1318*a(n-10) -705*a(n-11) -6*a(n-12) -165*a(n-13) -278*a(n-14) -212*a(n-15) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305523.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 04 2018