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%I #4 Dec 20 2015 07:00:25
%S 1,1,14,9,27,61,75,281,697,1182,3379,8083,17008,44193,103747,232714,
%T 571581,1342911,3114718,7472335,17554474,41147561,97770072,230189903,
%U 541916214,1282131187,3021086562,7122374217,16823787888,39666365638
%N Number of 4Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.
%C Row 4 of A266012.
%H R. H. Hardin, <a href="/A266014/b266014.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-3) +a(n-4) +14*a(n-5) +31*a(n-6) +28*a(n-7) +17*a(n-8) -69*a(n-9) +124*a(n-10) -41*a(n-11) -174*a(n-12) -347*a(n-13) -293*a(n-14) +611*a(n-15) -1613*a(n-16) -496*a(n-17) -15*a(n-18) +1102*a(n-19) +2041*a(n-20) -4267*a(n-21) +7710*a(n-22) +4851*a(n-23) +741*a(n-24) +945*a(n-25) -5239*a(n-26) +16978*a(n-27) -16478*a(n-28) -21208*a(n-29) +4426*a(n-30) -7104*a(n-31) +466*a(n-32) -37612*a(n-33) +11472*a(n-34) +49808*a(n-35) -12912*a(n-36) +1664*a(n-37) +14944*a(n-38) +28288*a(n-39) +1536*a(n-40) -45056*a(n-41) +20480*a(n-42) +12288*a(n-43) -22528*a(n-44) for n>53
%e Some solutions for n=4
%e ..0..1..2..2....1..1..2..2....0..2..2..0....0..2..2..1....0..2..2..0
%e ..1..2..2..0....0..2..2..0....2..2..1..1....2..2..1..0....2..2..1..0
%e ..1..1..2..2....1..1..2..2....0..2..2..1....0..2..2..0....0..1..2..2
%e ..0..2..2..0....0..2..2..0....2..2..1..0....2..2..1..1....0..2..2..0
%Y Cf. A266012.
%K nonn
%O 1,3
%A _R. H. Hardin_, Dec 20 2015
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