A302417 - OEIS

%I #4 Apr 07 2018 17:04:54

%S 8,81,120,259,698,1650,3655,8544,20246,47274,110507,259419,607197,

%T 1420291,3328378,7799749,18264688,42776207,100206573,234721284,

%U 549779626,1287794595,3016512620,7065696896,16550376724,38767164617,90806809133

%N Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 4 of A302415.

%H R. H. Hardin, <a href="/A302417/b302417.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -3*a(n-2) +6*a(n-3) -6*a(n-4) +3*a(n-5) -6*a(n-6) +a(n-7) -14*a(n-8) +9*a(n-9) +4*a(n-10) +2*a(n-11) -4*a(n-12) +2*a(n-13) +8*a(n-15) -4*a(n-16) for n>21

%e Some solutions for n=5

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

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

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

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

%Y Cf. A302415.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 07 2018