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

%I #4 Apr 12 2018 11:24:19

%S 16,512,11980,286631,6947036,168799572,4104115772,99818649293,

%T 2427829113648,59052536397220,1436349489188322,34936780127006555,

%U 849778519255324644,20669440240076116148,502749555285048546206

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

%C Row 5 of A302741.

%H R. H. Hardin, <a href="/A302744/b302744.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A302744/a302744.txt">Empirical recurrence of order 64</a>

%F Empirical recurrence of order 64 (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..1..0..1. .0..0..0..1..1. .0..0..1..0..1. .0..0..1..1..1

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

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

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

%Y Cf. A302741.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2018