|
%I #4 Jan 09 2018 07:08:41
%S 1,7,4,14,16,51,102,258,667,1716,4557,12280,33101,90062,245804,671771,
%T 1839762,5042390,13827032,37933535,104089825,285665539,784072873,
%U 2152190537,5907767483,16217301269,44518549114,122210466960,335489576156
%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A297943.
%H R. H. Hardin, <a href="/A297938/b297938.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -a(n-2) -7*a(n-3) -5*a(n-4) +11*a(n-5) +22*a(n-6) -15*a(n-7) -15*a(n-8) -22*a(n-9) -25*a(n-10) +55*a(n-11) +35*a(n-12) -15*a(n-13) -6*a(n-14) -11*a(n-15) -4*a(n-16) for n>17
%e Some solutions for n=7
%e ..0..1..1. .0..1..0. .0..1..1. .0..0..1. .0..0..0. .0..1..0. .0..1..0
%e ..0..0..1. .0..0..0. .1..1..0. .1..0..0. .1..0..1. .1..1..1. .1..1..1
%e ..1..0..1. .0..1..1. .0..1..1. .1..1..1. .1..1..1. .1..0..1. .1..0..1
%e ..1..1..0. .1..0..1. .0..0..0. .1..0..1. .1..0..0. .0..0..0. .1..0..0
%e ..0..0..0. .1..1..0. .0..1..0. .1..0..0. .0..0..1. .0..1..0. .1..1..0
%e ..0..1..0. .0..0..0. .1..1..1. .0..1..1. .1..1..1. .1..1..0. .0..0..1
%e ..1..1..1. .0..1..0. .1..0..1. .0..0..1. .1..0..1. .1..0..0. .0..1..1
%Y Cf. A297943.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 09 2018
| 