A297501 - OEIS

%I #4 Dec 31 2017 07:24:39

%S 4,31,110,531,2534,11405,53175,246040,1135117,5253716,24286811,

%T 112274796,519155469,2400230989,11097385328,51309028043,237225520918,

%U 1096808926323,5071081279846,23446053720513,108402467083427,501197081280420

%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s.

%C Column 3 of A297506.

%H R. H. Hardin, <a href="/A297501/b297501.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +5*a(n-2) +37*a(n-3) +63*a(n-4) +101*a(n-5) -45*a(n-6) -198*a(n-7) -254*a(n-8) -40*a(n-9) +88*a(n-10) +96*a(n-11)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297506.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2017