Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 May 13 2018 10:38:42
%S 8,49,117,322,1100,2957,8254,26698,77788,221123,681855,2041108,
%T 5932703,17889612,53854606,158987996,475744589,1430898909,4260906900,
%U 12733223515,38231707572,114317071912,341873189152,1025366065205,3071359996945
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero.
%C Column 4 of A304472.
%H R. H. Hardin, <a href="/A304468/b304468.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -17*a(n-2) +34*a(n-3) -113*a(n-4) +204*a(n-5) -132*a(n-6) +220*a(n-7) -539*a(n-8) +180*a(n-9) +308*a(n-10) +84*a(n-11) -56*a(n-12) -532*a(n-13) +370*a(n-14) -87*a(n-15) +214*a(n-16) -176*a(n-17) +38*a(n-18) -20*a(n-19) +18*a(n-20) -4*a(n-21) for n>25
%e Some solutions for n=5
%e ..0..0..0..0. .0..0..1..0. .0..0..1..1. .0..1..1..1. .0..0..1..0
%e ..1..1..1..1. .1..0..1..1. .0..0..0..1. .1..0..1..1. .0..0..1..1
%e ..1..1..1..1. .1..1..1..1. .0..1..1..1. .1..0..1..1. .0..0..0..0
%e ..0..1..1..1. .0..0..1..1. .0..0..1..1. .1..0..1..1. .0..0..0..0
%e ..0..0..1..1. .1..0..1..0. .1..1..1..0. .0..1..1..0. .1..1..1..1
%Y Cf. A304472.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 13 2018