A299735 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

4, 32, 220, 1578, 11303, 81105, 582032, 4177161, 29979239, 215160247, 1544201029, 11082704750, 79540390044, 570860083491, 4097053535956, 29404486634726, 211035522699946, 1514598516808216, 10870248941079889, 78015599995840787

Offset

1,1

Comments

Column 3 of A299740.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -4*a(n-2) -13*a(n-3) -6*a(n-4) +5*a(n-5) +23*a(n-6) -20*a(n-7) -12*a(n-8)

Example

Some solutions for n=5
..0..1..1. .0..0..0. .0..0..0. .0..0..1. .0..0..0. .0..1..0. .0..0..0
..0..0..0. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .0..0..0. .1..1..1
..1..1..1. .0..0..0. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .1..1..1
..1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1
..1..1..1. .0..0..0. .0..1..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1

Crossrefs

Cf. A299740.

Sequence in context: A305518 A298965 A316955 * A099269 A316810 A299656

Adjacent sequences: A299732 A299733 A299734 * A299736 A299737 A299738

Keyword

nonn

Author

R. H. Hardin, Feb 18 2018

Status

approved