A301445 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

4, 29, 171, 1008, 5930, 34976, 206266, 1216562, 7175157, 42318566, 249591629, 1472072549, 8682172154, 51206792942, 302013780922, 1781254373986, 10505703200049, 61961840678551, 365446236883416, 2155374188205965

Offset

1,1

Comments

Column 3 of A301450.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +7*a(n-2) -10*a(n-3) -a(n-4) +7*a(n-5) -17*a(n-6) +5*a(n-8) -11*a(n-9) +5*a(n-10) -2*a(n-12) +2*a(n-13)

Example

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

Crossrefs

Cf. A301450.

Sequence in context: A302803 A300806 A303464 * A353818 A198794 A258416

Adjacent sequences: A301442 A301443 A301444 * A301446 A301447 A301448

Keyword

nonn

Author

R. H. Hardin, Mar 21 2018

Status

approved