A298180 - OEIS

A298180

Number of nX5 0..1 arrays with every element equal to 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

0, 3, 3, 6, 15, 27, 54, 117, 237, 508, 1073, 2261, 4852, 10375, 22175, 47602, 102187, 219583, 472170, 1015449, 2185065, 4703176, 10124077, 21797129, 46934664, 101069563, 217658203, 468756814, 1009568519, 2174384483, 4683219582

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OFFSET

1,2

COMMENTS

Column 5 of A298183.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -2*a(n-4) -5*a(n-5) -6*a(n-6) -4*a(n-7) +14*a(n-8) +6*a(n-9) -2*a(n-10)

EXAMPLE

Some solutions for n=7

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

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

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

CROSSREFS

Cf. A298183.

Sequence in context: A245796 A345908 A006807 * A119460 A348539 A095356

Adjacent sequences: A298177 A298178 A298179 * A298181 A298182 A298183

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 14 2018

STATUS

approved