A299656 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

4, 32, 227, 1642, 11888, 86123, 624007, 4521433, 32761769, 237388544, 1720095182, 12463651182, 90310472508, 654381403622, 4741587670337, 34357109680119, 248948467884508, 1803857782078629, 13070588164990173, 94708283921766839

Offset

1,1

Comments

Column 3 of A299661.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +3*a(n-2) -6*a(n-3) -18*a(n-4) -15*a(n-5) -17*a(n-6) -32*a(n-7) -12*a(n-8)

Example

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

Crossrefs

Cf. A299661.

Sequence in context: A299735 A099269 A316810 * A125823 A320366 A317560

Adjacent sequences: A299653 A299654 A299655 * A299657 A299658 A299659

Keyword

nonn

Author

R. H. Hardin, Feb 15 2018

Status

approved