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Number of nX4 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
1

%I #4 Jan 18 2018 08:07:37

%S 2,13,29,112,432,1915,7556,29657,123601,506005,2045992,8338063,

%T 34081117,138882034,565662142,2306767356,9406512939,38341596638,

%U 156298964930,637236157303,2597868552855,10590565910150,43175175465961

%N Number of nX4 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 4 of A298396.

%H R. H. Hardin, <a href="/A298392/b298392.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A298392/a298392.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..0..1. .0..0..0..1. .0..0..1..1. .0..0..1..0. .0..1..0..1

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

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

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

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

%Y Cf. A298396.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2018