A303085 - OEIS

%I #4 Apr 18 2018 12:21:48

%S 4,2,32,29,258,432,2525,6313,30188,97855,428478,1605301,6821375,

%T 27390903,115569231,478335810,2017576268,8457463080,35707225807,

%U 150472100292,635822248364,2685274511197,11352580693193,47989709554314

%N Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A303084.

%H R. H. Hardin, <a href="/A303085/b303085.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -2*a(n-2) -67*a(n-3) +80*a(n-4) +187*a(n-5) -202*a(n-6) -298*a(n-7) +122*a(n-8) +213*a(n-9) +122*a(n-10) +126*a(n-11) -63*a(n-12) -416*a(n-13) +152*a(n-14) +20*a(n-15) -21*a(n-16) +9*a(n-17) for n>18

%e Some solutions for n=5

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

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

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

%Y Cf. A303084.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 18 2018