A298584 Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

1, 1, 9, 5, 16, 31, 28, 87, 125, 185, 418, 596, 1073, 2012, 3127, 5795, 10073, 16834, 30554, 52267, 90618, 160929, 276959, 486097, 853274, 1481686, 2604683, 4555304, 7957131, 13971375, 24435699, 42804128, 75078872, 131452051, 230501756

Offset

1,3

Comments

Column 3 of A298589.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) -4*a(n-4) -2*a(n-5) -a(n-6) -a(n-7) +a(n-9) for n>13

Example

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

Crossrefs

Cf. A298589.

Sequence in context: A337171 A061467 A103168 * A238475 A180878 A146282

Adjacent sequences: A298581 A298582 A298583 * A298585 A298586 A298587

Keyword

nonn

Author

R. H. Hardin, Jan 22 2018

Status

approved