%I #4 Dec 30 2017 11:12:10

%S 16,48,390,1677,10579,52714,303202,1595942,8870125,47677361,261582358,

%T 1417183936,7737647802,42045961903,229144537845,1246564200638,

%U 6788893506436,36947833081238,201168409801195,1095013593863467

%N Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s.

%C Row 4 of A297457.

%H R. H. Hardin, <a href="/A297460/b297460.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +15*a(n-2) -32*a(n-3) -18*a(n-4) -113*a(n-5) -37*a(n-6) +422*a(n-7) -77*a(n-8) +349*a(n-9) +165*a(n-10) -118*a(n-11) -14*a(n-12) -48*a(n-13) -2*a(n-14) +8*a(n-15)

%e Some solutions for n=6

%e ..1..0..1..0..0..1. .0..0..0..1..0..0. .1..1..1..0..0..0. .0..0..1..0..0..0

%e ..1..0..0..0..0..1. .0..0..0..0..0..1. .0..1..0..0..0..0. .0..0..0..0..1..0

%e ..1..0..1..1..0..0. .1..0..1..1..0..1. .0..1..0..0..1..1. .0..1..0..0..0..0

%e ..1..0..1..1..0..1. .1..0..1..1..0..0. .0..0..0..1..1..0. .0..1..0..0..0..1

%Y Cf. A297457.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2017