A301405 - OEIS

%I #4 Mar 20 2018 11:09:54

%S 32,2048,123676,7541492,459428416,27990353344,1705287652128,

%T 103893157740576,6329599807409536,385625333533228368,

%U 23493886255860917840,1431344477092250906240,87203410700110332387280

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A301407.

%H R. H. Hardin, <a href="/A301405/b301405.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 45*a(n-1) +932*a(n-2) +2781*a(n-3) -26329*a(n-4) -94964*a(n-5) +399476*a(n-6) +777092*a(n-7) -3601272*a(n-8) +1655504*a(n-9) +4688480*a(n-10) -2961536*a(n-11) -4539088*a(n-12) +5974784*a(n-13) -5852480*a(n-14) +6635520*a(n-15) -1321984*a(n-16) -1279744*a(n-17) -1724416*a(n-18) +910336*a(n-19) +442368*a(n-20) -65536*a(n-22) for n>23

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301407.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 20 2018