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A279712 Number of 5Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

%I A279712 #4 Dec 17 2016 13:25:53
%S A279712 16,34,161,717,3245,14988,70220,329692,1554991,7348544,34783369,
%T A279712 164707073,780082143,3694519412,17497209152,82864915694,392436915282,
%U A279712 1858523413836,8801702771851,41683674474943,197408500938927
%N A279712 Number of 5Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.
%C A279712 Row 5 of A279709.
%H A279712 R. H. Hardin, <a href="/A279712/b279712.txt">Table of n, a(n) for n = 1..210</a>
%F A279712 Empirical: a(n) = 16*a(n-1) -111*a(n-2) +440*a(n-3) -1045*a(n-4) +1204*a(n-5) +873*a(n-6) -5800*a(n-7) +8588*a(n-8) -892*a(n-9) -11828*a(n-10) -4978*a(n-11) +89393*a(n-12) -217044*a(n-13) +273217*a(n-14) -116888*a(n-15) -321350*a(n-16) +1016314*a(n-17) -1839287*a(n-18) +2439426*a(n-19) -2180856*a(n-20) +689764*a(n-21) +1139306*a(n-22) -1972152*a(n-23) +2117801*a(n-24) -3180750*a(n-25) +4464553*a(n-26) -4044600*a(n-27) +2270050*a(n-28) -1710650*a(n-29) +1984966*a(n-30) +176262*a(n-31) -3820242*a(n-32) +7377536*a(n-33) -6522367*a(n-34) +440320*a(n-35) -672576*a(n-36) +3135532*a(n-37) +5641800*a(n-38) +295226*a(n-39) +2804244*a(n-40) -1864066*a(n-41) -3970234*a(n-42) -4508950*a(n-43) -2225885*a(n-44) -158472*a(n-45) +552222*a(n-46) +1205102*a(n-47) +844822*a(n-48) +418724*a(n-49) +98418*a(n-50) -29748*a(n-51) -45061*a(n-52) -38454*a(n-53) -16390*a(n-54) -4870*a(n-55) -572*a(n-56) for n>64
%e A279712 Some solutions for n=4
%e A279712 ..0..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..0
%e A279712 ..0..0..1..0. .0..0..1..0. .0..0..1..1. .0..0..1..0. .0..1..1..0
%e A279712 ..0..1..1..0. .1..0..1..0. .1..0..0..0. .1..0..1..1. .0..1..0..1
%e A279712 ..0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..0..1. .0..0..1..0
%e A279712 ..0..0..1..0. .0..1..0..1. .0..0..1..0. .1..0..1..0. .1..0..1..0
%Y A279712 Cf. A279709.
%K A279712 nonn
%O A279712 1,1
%A A279712 _R. H. Hardin_, Dec 17 2016