A298584 - OEIS

%I #4 Jan 22 2018 06:49:45

%S 1,1,9,5,16,31,28,87,125,185,418,596,1073,2012,3127,5795,10073,16834,

%T 30554,52267,90618,160929,276959,486097,853274,1481686,2604683,

%U 4555304,7957131,13971375,24435699,42804128,75078872,131452051,230501756

%N Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A298589.

%H R. H. Hardin, <a href="/A298584/b298584.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) -4*a(n-4) -2*a(n-5) -a(n-6) -a(n-7) +a(n-9) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298589.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 22 2018