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%I #4 Jan 31 2017 11:14:25
%S 8,121,926,8240,74240,663300,5954670,53530609,481128867,4324987861,
%T 38881531229,349545044141,3142427803974,28250701211435,
%U 253976455118073,2283272807215718,20526846660524336,184538376687777340
%N Number of nX4 0..1 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.
%C Column 4 of A281837.
%H R. H. Hardin, <a href="/A281833/b281833.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) +32*a(n-3) -252*a(n-4) -362*a(n-5) -318*a(n-6) +727*a(n-7) +2017*a(n-8) +937*a(n-9) -426*a(n-10) -3029*a(n-11) +1089*a(n-12) +9*a(n-13) +232*a(n-14) -2190*a(n-15) +162*a(n-16) -149*a(n-17) +512*a(n-18) +243*a(n-19) +198*a(n-20) -184*a(n-21) -34*a(n-22) +48*a(n-23) for n>24
%e Some solutions for n=4
%e ..0..1..1..0. .0..0..0..1. .0..1..1..1. .0..0..1..0. .0..0..0..1
%e ..0..0..0..0. .1..1..0..1. .1..0..0..1. .0..1..1..1. .0..1..1..0
%e ..0..1..1..0. .1..0..1..0. .1..0..1..1. .1..1..0..0. .1..0..1..0
%e ..1..1..1..1. .1..0..0..1. .1..1..1..0. .1..0..0..1. .0..0..1..0
%Y Cf. A281837.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 31 2017
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