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%I #4 Dec 06 2016 22:54:22
%S 2,12,72,428,2294,11932,60304,297092,1443498,6930508,32917852,
%T 155025096,724982468,3370079700,15584464186,71742003424,328950577598,
%U 1503015006696,6845967619642,31094637435220,140875688981220,636779907204164
%N Number of nX4 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
%C Column 4 of A279158.
%H R. H. Hardin, <a href="/A279154/b279154.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) -79*a(n-2) +296*a(n-3) -1137*a(n-4) +3786*a(n-5) -9491*a(n-6) +25574*a(n-7) -66007*a(n-8) +125068*a(n-9) -286655*a(n-10) +644352*a(n-11) -935651*a(n-12) +2106274*a(n-13) -4254326*a(n-14) +4407958*a(n-15) -11660139*a(n-16) +20200812*a(n-17) -12942101*a(n-18) +52398124*a(n-19) -69889240*a(n-20) +21188756*a(n-21) -190043003*a(n-22) +177570770*a(n-23) -9931732*a(n-24) +525736690*a(n-25) -354049840*a(n-26) -26853854*a(n-27) -1062956470*a(n-28) +606320574*a(n-29) +18947687*a(n-30) +1546195654*a(n-31) -882316499*a(n-32) +192000088*a(n-33) -1655999570*a(n-34) +946806094*a(n-35) -559625950*a(n-36) +1454800834*a(n-37) -725310313*a(n-38) +650909536*a(n-39) -1073036990*a(n-40) +514311888*a(n-41) -448474953*a(n-42) +540383844*a(n-43) -298642984*a(n-44) +247525328*a(n-45) -191218312*a(n-46) +91813964*a(n-47) -69588676*a(n-48) +52628912*a(n-49) -21603676*a(n-50) +3806952*a(n-51) -2143540*a(n-52) +961488*a(n-53) -183280*a(n-54) -15808*a(n-55) -23104*a(n-56) for n>57
%e Some solutions for n=4
%e ..0..1..1..0. .0..1..0..1. .0..1..0..1. .0..0..1..0. .0..0..1..0
%e ..1..0..0..1. .0..1..0..0. .0..1..1..0. .1..1..1..0. .1..1..0..0
%e ..1..1..1..0. .0..1..1..1. .1..0..0..0. .1..0..0..1. .0..0..1..1
%e ..0..0..1..0. .1..0..0..1. .0..1..1..1. .1..0..1..0. .1..0..1..0
%Y Cf. A279158.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 06 2016
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