%I #4 Jan 06 2018 09:28:36
%S 1,11,37,108,533,2434,10287,45968,207906,927565,4149639,18631844,
%T 83542062,374482908,1679592819,7532686680,33779595704,151490828968,
%U 679394507158,3046851336221,13664151868643,61279503538129
%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.
%C Column 3 of A297802.
%H R. H. Hardin, <a href="/A297797/b297797.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +46*a(n-3) -56*a(n-4) +43*a(n-5) -576*a(n-6) +284*a(n-7) -620*a(n-8) +1922*a(n-9) -364*a(n-10) +1288*a(n-11) +884*a(n-12) -496*a(n-13) +504*a(n-14) -352*a(n-15)
%e Some solutions for n=7
%e ..1..1..0. .0..0..0. .1..1..0. .0..1..1. .1..1..0. .0..1..1. .0..0..0
%e ..1..1..1. .0..0..0. .1..1..0. .1..1..0. .0..1..1. .1..1..0. .0..1..0
%e ..0..0..0. .0..0..0. .0..1..1. .0..1..1. .1..1..0. .0..1..1. .1..1..1
%e ..1..1..0. .0..1..1. .0..1..0. .0..0..1. .0..0..0. .0..1..0. .0..0..0
%e ..1..1..0. .0..1..1. .1..0..1. .1..1..1. .0..0..0. .0..0..1. .1..1..0
%e ..0..1..0. .1..1..0. .1..1..1. .1..1..1. .1..1..0. .0..1..1. .1..1..1
%e ..1..1..1. .0..1..1. .1..1..0. .0..1..1. .1..1..0. .0..1..1. .0..0..0
%Y Cf. A297802.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 06 2018