|
%I #4 Jan 06 2018 10:55:42
%S 2,49,146,466,1395,4306,13417,41512,128084,395130,1219746,3768063,
%T 11642142,35964517,111087880,343131807,1059922547,3274149571,
%U 10114014322,31242498943,96508734369,298117843290,920895161362,2844676016212
%N Number of nX4 0..1 arrays with every element equal to 1, 2 or 3 king-move adjacent elements, with upper left element zero.
%C Column 4 of A297823.
%H R. H. Hardin, <a href="/A297819/b297819.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -7*a(n-2) +4*a(n-3) -a(n-5) -8*a(n-6) -35*a(n-7) +29*a(n-8) +32*a(n-9) +39*a(n-10) -35*a(n-11) -31*a(n-12) +5*a(n-13) +14*a(n-14) -3*a(n-15) -14*a(n-16) +2*a(n-17) +4*a(n-18) for n>21
%e Some solutions for n=7
%e ..0..1..0..1. .0..1..1..1. .0..0..1..0. .0..1..0..0. .0..0..1..1
%e ..1..0..1..0. .1..0..0..1. .0..1..1..0. .0..1..1..0. .1..1..0..0
%e ..1..0..1..0. .0..1..1..0. .1..0..0..1. .1..0..0..1. .0..1..0..1
%e ..0..0..1..0. .1..0..0..1. .1..1..1..1. .0..1..1..0. .0..1..0..1
%e ..1..0..1..0. .0..1..1..1. .0..0..0..0. .1..0..0..0. .1..0..0..1
%e ..1..0..1..1. .0..0..0..0. .0..1..1..0. .1..1..1..1. .1..1..1..1
%e ..1..1..0..0. .1..1..1..1. .1..0..1..0. .0..0..0..0. .0..0..0..0
%Y Cf. A297823.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2018
| 