|
%I #4 Feb 15 2018 14:45:45
%S 4,32,227,1642,11888,86123,624007,4521433,32761769,237388544,
%T 1720095182,12463651182,90310472508,654381403622,4741587670337,
%U 34357109680119,248948467884508,1803857782078629,13070588164990173,94708283921766839
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299661.
%H R. H. Hardin, <a href="/A299656/b299656.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +3*a(n-2) -6*a(n-3) -18*a(n-4) -15*a(n-5) -17*a(n-6) -32*a(n-7) -12*a(n-8)
%e Some solutions for n=5
%e ..0..0..1. .0..1..0. .0..1..0. .0..0..0. .0..0..1. .0..1..1. .0..1..1
%e ..0..1..0. .0..1..1. .0..0..1. .0..1..1. .0..0..1. .0..0..1. .1..0..1
%e ..1..1..0. .0..0..0. .1..0..0. .1..0..1. .0..1..1. .0..1..1. .0..1..1
%e ..0..0..1. .0..0..1. .0..1..1. .0..0..1. .0..0..1. .1..1..1. .1..0..0
%e ..0..0..1. .0..0..0. .0..0..1. .0..1..1. .1..0..0. .1..1..1. .0..1..1
%Y Cf. A299661.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 15 2018
| 