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%I #4 Jun 15 2018 06:06:32
%S 1,24,107,959,8433,76951,705763,6501334,59966772,553530259,5110834507,
%T 47195589996,435849686772,4025162271602,37173665139688,
%U 343312585950465,3170626942658318,29282022185584639,270431457386379172
%N Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
%C Column 4 of A305954.
%H R. H. Hardin, <a href="/A305950/b305950.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) +24*a(n-2) -128*a(n-3) -849*a(n-4) +581*a(n-5) +8374*a(n-6) +10529*a(n-7) -26118*a(n-8) -84366*a(n-9) -54629*a(n-10) +86940*a(n-11) +246557*a(n-12) +418712*a(n-13) +644186*a(n-14) +65691*a(n-15) -1779771*a(n-16) -3241800*a(n-17) -1482989*a(n-18) +2103188*a(n-19) +3932849*a(n-20) +3239092*a(n-21) +647499*a(n-22) -3752058*a(n-23) -8820277*a(n-24) -7315312*a(n-25) -419206*a(n-26) +7790434*a(n-27) +12367865*a(n-28) +9456422*a(n-29) +1790181*a(n-30) -8909586*a(n-31) -2864355*a(n-32) +4100560*a(n-33) +5199267*a(n-34) -1625201*a(n-35) -2490563*a(n-36) +1007690*a(n-37) +280255*a(n-38) -775753*a(n-39) -608875*a(n-40) +700187*a(n-41) +458122*a(n-42) -199679*a(n-43) -166164*a(n-44) -17498*a(n-45) +30740*a(n-46) +2072*a(n-47) -1296*a(n-48) +768*a(n-49) for n>51
%e Some solutions for n=5
%e ..0..1..0..1. .0..1..0..1. .0..0..0..1. .0..1..1..0. .0..0..1..0
%e ..1..0..0..1. .1..0..0..1. .1..1..1..0. .1..0..0..1. .1..1..1..0
%e ..1..0..1..0. .0..0..0..1. .0..1..1..1. .1..0..0..1. .0..1..0..1
%e ..0..1..1..1. .0..1..1..0. .0..1..0..1. .0..0..0..1. .0..0..0..1
%e ..1..0..1..0. .1..0..1..0. .0..1..0..1. .1..1..1..0. .1..1..0..1
%Y Cf. A305954.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jun 15 2018
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