A297311 - OEIS

%I #4 Dec 28 2017 07:25:11

%S 12,207,2577,35476,484808,6623719,90535227,1237278512,16909630099,

%T 231098841942,3158359335337,43164380571143,589914903106589,

%U 8062194454707849,110183650123040906,1505847685192695964

%N Number of nX5 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 or 2 neighboring 1s.

%C Column 5 of A297314.

%H R. H. Hardin, <a href="/A297311/b297311.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +91*a(n-2) +215*a(n-3) -317*a(n-4) -733*a(n-5) +1104*a(n-6) -40*a(n-7) -1643*a(n-8) +1667*a(n-9) -589*a(n-10) +69*a(n-11) -a(n-12) for n>14

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2017