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Number of n X 4 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 Jan 20 2024 16:16:20

%S 2,13,29,112,439,1950,7702,30277,126429,518642,2100761,8578886,

%T 35145230,143528336,585829218,2394199252,9784418458,39968678821,

%U 163285521413,667170458474,2725830500324,11136404253818,45499237305554

%N Number of n X 4 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A299514.

%H R. H. Hardin, <a href="/A299510/b299510.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A299510/a299510.txt">Empirical recurrence of order 68</a>

%F Empirical recurrence of order 68 (see link above).

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299514.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 11 2018