A302066 - OEIS

%I #4 Mar 31 2018 15:42:56

%S 16,263,3657,54177,807601,12063625,180330117,2696254757,40316943551,

%T 602872785123,9015038394948,134806477346114,2015832143687688,

%U 30143807918373532,450756407141792781,6740400763324758261

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A302069.

%H R. H. Hardin, <a href="/A302066/b302066.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) -376*a(n-2) +2288*a(n-3) -8309*a(n-4) +19438*a(n-5) -30349*a(n-6) +31426*a(n-7) -20604*a(n-8) +7932*a(n-9) -1632*a(n-10) +144*a(n-11) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302069.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 31 2018