A304266 - OEIS

%I #4 May 09 2018 10:12:11

%S 5,5,10,21,50,116,259,601,1397,3196,7359,17016,39172,90185,208017,

%T 479413,1104402,2545521,5866934,13519272,31155923,71803941,165473389,

%U 381338852,878829251,2025313404,4667430712,10756397233,24788787493,57127147381

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A304270.

%H R. H. Hardin, <a href="/A304266/b304266.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +5*a(n-3) +a(n-4) -3*a(n-5) -3*a(n-6) for n>7

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304270.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 09 2018