A298542 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.

1, 17, 109, 588, 3276, 18500, 104034, 585134, 3291766, 18516878, 104162234, 585942186, 3296084046, 18541374458, 104300314322, 586717825798, 3300448449034, 18565926430146, 104438420710534, 587494718619882

Offset

1,2

Comments

Column 3 of A298547.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +3*a(n-2) +6*a(n-3) -15*a(n-4) -11*a(n-5) -5*a(n-6) -46*a(n-7) -2*a(n-8) -38*a(n-9) -16*a(n-10) -8*a(n-11) -8*a(n-12) for n>13

Example

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

Crossrefs

Cf. A298547.

Sequence in context: A141921 A013308 A297918 * A261809 A264723 A157099

Adjacent sequences: A298539 A298540 A298541 * A298543 A298544 A298545

Keyword

nonn

Author

R. H. Hardin, Jan 21 2018

Status

approved