A297632 - OEIS

%I #4 Jan 02 2018 11:55:34

%S 5,29,113,494,2344,10587,48187,222804,1027173,4742274,21972140,

%T 101903425,473082512,2198914110,10228596580,47609298494,221722179703,

%U 1033032196334,4814686623467,22446378284036,104670487199231,488182725513963

%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.

%C Column 3 of A297637.

%H R. H. Hardin, <a href="/A297632/b297632.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -11*a(n-2) +33*a(n-3) -184*a(n-4) +159*a(n-5) -265*a(n-6) +1190*a(n-7) -508*a(n-8) +20*a(n-9) -1256*a(n-10) +664*a(n-11) +1408*a(n-12) -2464*a(n-13) +1024*a(n-14) -768*a(n-15)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297637.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 02 2018