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R. H. Hardin, <a href="/A301996/b301996.txt">Table of n, a(n) for n = 1..210</a>

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Number of nX5 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

3, 18, 84, 468, 2856, 17800, 110036, 674984, 4130664, 25284068, 154853080, 948637896, 5811528980, 35601208264, 218086661704, 1335953081860, 8183781374680, 50132301702344, 307101237458324, 1881245567361512

1,1

Column 5 of A301999.

Empirical: a(n) = 18*a(n-1) -141*a(n-2) +661*a(n-3) -2058*a(n-4) +4393*a(n-5) -6412*a(n-6) +6060*a(n-7) -3280*a(n-8) +640*a(n-9) +192*a(n-10) -64*a(n-11) for n>12

Some solutions for n=5

..0..0..0..0..0. .0..0..1..1..0. .0..0..1..1..1. .0..0..1..0..0

..1..1..1..1..0. .1..1..1..0..1. .0..0..0..0..1. .0..1..0..0..0

..0..0..1..0..0. .1..0..1..1..1. .1..1..1..1..0. .1..1..0..1..1

..0..1..1..1..0. .0..0..1..0..1. .0..0..0..0..0. .0..0..1..0..0

..0..0..1..0..0. .0..0..0..1..1. .1..1..0..1..1. .1..1..0..1..1

Cf. A301999.

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R. H. Hardin, Mar 30 2018

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