A297336 - OEIS

%I #4 Dec 28 2017 11:29:54

%S 21,333,4888,73147,1091456,16277492,242728633,3619361855,53967869192,

%T 804703360025,11998734637184,178910069329084,2667681781924513,

%U 39777110424677008,593106152583574704,8843651586637481947

%N Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s.

%C Column 6 of A297338.

%H R. H. Hardin, <a href="/A297336/b297336.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) -154*a(n-2) +246*a(n-3) +521*a(n-4) -1157*a(n-5) -1119*a(n-6) +1776*a(n-7) +1209*a(n-8) -621*a(n-9) -454*a(n-10) -25*a(n-11) +10*a(n-12) +a(n-13) for n>14

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297338.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2017