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Number of nX4 0..1 arrays with every element unequal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jul 09 2018 11:26:03

%S 2,10,33,42,277,954,2432,10541,39013,126666,482131,1792255,6319249,

%T 23345602,86360870,313149450,1150902364,4244463411,15539179620,

%U 57111294927,210353855214,772739674178,2841929193001,10462902967671

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A316648.

%H R. H. Hardin, <a href="/A316644/b316644.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A316644/a316644.txt">Empirical recurrence of order 69</a>

%F Empirical recurrence of order 69 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316648.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 09 2018