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%I #6 Oct 19 2021 21:48:07
%S 8,112,587,3389,19089,111354,640778,3716432,21502354,124531091,
%T 721152740,4176107752,24184974414,140057032575,811098268642,
%U 4697197830808,27202297829372,157533202227607,912302039312046,5283299749392401
%N Number of n X 4 0..1 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.
%C Column 4 of A281955.
%H R. H. Hardin, <a href="/A281951/b281951.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +14*a(n-2) -45*a(n-3) -87*a(n-4) +179*a(n-5) +51*a(n-6) -197*a(n-7) +424*a(n-8) -224*a(n-9) -890*a(n-10) +887*a(n-11) +660*a(n-12) -788*a(n-13) -418*a(n-14) +178*a(n-15) +92*a(n-16) -27*a(n-17) +60*a(n-18) +69*a(n-19) +95*a(n-20) -a(n-21) -5*a(n-22) -45*a(n-23) -10*a(n-24) -9*a(n-25) -6*a(n-26) +3*a(n-28) for n > 32.
%e Some solutions for n=4
%e ..0..1..0..1. .0..0..1..1. .0..1..1..1. .0..1..1..1. .0..1..1..1
%e ..1..0..0..1. .0..1..1..1. .0..0..0..1. .0..1..1..1. .1..0..0..0
%e ..0..0..0..1. .0..1..1..1. .1..0..0..0. .0..0..1..1. .1..0..0..0
%e ..0..0..0..0. .0..0..1..1. .0..1..1..0. .0..0..1..1. .1..0..1..1
%Y Cf. A281955.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 03 2017
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