A298148 Number of nX2 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

2, 4, 4, 16, 50, 112, 348, 1028, 2796, 8216, 23816, 67776, 196296, 566512, 1628384, 4699280, 13549232, 39031840, 112541888, 324422976, 935034208, 2695453440, 7769839552, 22396226368, 64559126592, 186094935168, 536423458688

Offset

1,1

Comments

Column 2 of A298154.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +2*a(n-2) +6*a(n-3) -10*a(n-4) -8*a(n-5) for n>6

Example

Some solutions for n=7
..0..0. .0..1. .0..1. .0..0. .0..0. .0..1. .0..0. .0..0. .0..0. .0..1
..1..1. .1..0. .0..1. .0..0. .0..0. .0..1. .0..0. .0..0. .0..0. .1..0
..1..1. .1..1. .0..0. .0..0. .0..1. .0..0. .1..1. .1..0. .0..0. .0..0
..1..1. .1..1. .1..0. .0..1. .1..0. .1..0. .1..1. .0..0. .1..1. .0..1
..0..0. .1..0. .0..0. .0..1. .1..1. .0..1. .1..1. .0..0. .0..0. .0..0
..1..1. .1..1. .1..0. .0..0. .1..0. .0..0. .1..0. .0..1. .0..0. .1..0
..0..0. .1..1. .1..0. .0..0. .0..1. .0..0. .1..0. .1..0. .1..1. .1..0

Crossrefs

Cf. A298154.

Sequence in context: A176739 A154919 A019230 * A088042 A013140 A326773

Adjacent sequences: A298145 A298146 A298147 * A298149 A298150 A298151

Keyword

nonn

Author

R. H. Hardin, Jan 13 2018

Status

approved