A298965 - OEIS

%I #4 Jan 30 2018 13:27:51

%S 4,32,219,1575,11283,80972,581057,4169867,29924442,214748731,

%T 1541115372,11059607816,79367792570,569572322542,4087459410676,

%U 29333104460805,210505091515979,1510661567154766,10841060204501930,77799415112548482

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 3 of A298970.

%H R. H. Hardin, <a href="/A298965/b298965.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +3*a(n-2) -11*a(n-3) -11*a(n-4) +2*a(n-5) +19*a(n-6) -8*a(n-7) -12*a(n-8)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298970.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2018