login
Number of n X 5 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 Dec 27 2023 21:09:46

%S 16,512,11965,298600,7452385,186427449,4666136435,116802113451,

%T 2923892905217,73194247560765,1832287164688910,45868072086086527,

%U 1148226402670943944,28743827399125599775,719551149215186260057

%N Number of n X 5 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A300215.

%H R. H. Hardin, <a href="/A300212/b300212.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A300212/a300212.txt">Empirical recurrence of order 89</a>

%F Empirical recurrence of order 89 (see link above).

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300215.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 28 2018