A298448 Number of nX2 0..1 arrays with every element equal to 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

1, 4, 4, 16, 48, 88, 240, 704, 1600, 4032, 11072, 27392, 68608, 180736, 459776, 1160704, 2999296, 7682048, 19525632, 50081792, 128339968, 327434240, 837861376, 2145583104, 5483266048, 14023229440, 35888758784, 91776090112, 234707222528

Offset

1,2

Comments

Column 2 of A298454.

Links

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

Formula

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

Example

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

Crossrefs

Cf. A298454.

Sequence in context: A222104 A257613 A223202 * A222144 A342817 A107382

Adjacent sequences: A298445 A298446 A298447 * A298449 A298450 A298451

Keyword

nonn

Author

R. H. Hardin, Jan 19 2018

Status

approved