A300348 Number of nX6 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

5, 90, 133, 325, 729, 1371, 3092, 6068, 12638, 26306, 55227, 116124, 244628, 515923, 1089092, 2300375, 4859824, 10269075, 21701677, 45866023, 96942392, 204906286, 433123097, 915543514, 1935335582, 4091114685, 8648362831, 18282350436

Offset

1,1

Comments

Column 6 of A300350.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3) +a(n-7) -3*a(n-8) +4*a(n-9) -2*a(n-10) +a(n-11) -a(n-12) -a(n-16) +a(n-17) for n>22

Example

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

Crossrefs

Cf. A300350.

Sequence in context: A167424 A174591 A065197 * A336783 A300433 A300767

Adjacent sequences: A300345 A300346 A300347 * A300349 A300350 A300351

Keyword

nonn

Author

R. H. Hardin, Mar 03 2018

Status

approved