A298095 Number of nX3 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

0, 1, 0, 1, 0, 3, 0, 7, 2, 19, 10, 53, 42, 153, 156, 453, 548, 1367, 1860, 4187, 6182, 12967, 20270, 40489, 65870, 127181, 212768, 401209, 684456, 1269547, 2195656, 4025967, 7029770, 12786683, 22476818, 40655069, 71799858, 129360321, 229208420

Offset

1,6

Comments

Column 3 of A298100.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) -a(n-3) +a(n-4) -2*a(n-5)

Example

All solutions for n=8
..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
..1..1..1. .0..1..1. .1..1..1. .0..1..1. .1..1..0. .1..1..1. .1..1..0
..1..1..1. .0..1..1. .1..1..1. .0..1..1. .1..1..0. .1..1..1. .1..1..0
..1..0..0. .0..0..0. .0..0..0. .0..0..1. .1..0..0. .0..0..1. .0..0..0
..1..0..0. .0..0..0. .0..0..0. .0..0..1. .1..0..0. .0..0..1. .0..0..0
..1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1
..1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1

Crossrefs

Cf. A298100.

Sequence in context: A175918 A265205 A263210 * A327803 A199667 A358658

Adjacent sequences: A298092 A298093 A298094 * A298096 A298097 A298098

Keyword

nonn

Author

R. H. Hardin, Jan 12 2018

Status

approved