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

%I #6 Sep 11 2023 21:32:48

%S 16,73,102,585,3068,11263,53159,246537,1098723,5019660,22917571,

%T 104989861,479576859,2190011558,10043013903,45967831277,210240594170,

%U 963216934915,4411537777349,20194722945604,92489561346114

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

%C Column 5 of A299879.

%H R. H. Hardin, <a href="/A299876/b299876.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299879.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 21 2018