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Number of n X 5 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #6 Apr 26 2021 21:34:29

%S 1,5,70,130,1306,6051,38035,234329,1457212,9460174,61098363,400690315,

%T 2635532413,17400923491,115170103841,763257987419,5063822195573,

%U 33615913766700,223256247032907,1483145326036963,9854734637542620

%N Number of n X 5 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A299321.

%H R. H. Hardin, <a href="/A299318/b299318.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299321.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 06 2018