A300204 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

8, 128, 1933, 29561, 451996, 6912249, 105708560, 1616600364, 24722667407, 378083758286, 5782035093260, 88424665581000, 1352278455547082, 20680395107688945, 316265292891587218, 4836645284923191877

Offset

1,1

Comments

Column 4 of A300208.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +4*a(n-2) +22*a(n-3) -200*a(n-4) -372*a(n-5) +49*a(n-6) +405*a(n-7) +898*a(n-8) +427*a(n-9) -28*a(n-10) -359*a(n-11) -196*a(n-12) -30*a(n-13) +64*a(n-14) +24*a(n-15)

Example

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

Crossrefs

Cf. A300208.

Sequence in context: A316804 A317521 A299650 * A213414 A303417 A303423

Adjacent sequences: A300201 A300202 A300203 * A300205 A300206 A300207

Keyword

nonn

Author

R. H. Hardin, Feb 28 2018

Status

approved