A303464 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

4, 29, 170, 1033, 6369, 39098, 240109, 1476141, 9071642, 55751425, 342663945, 2106046874, 12944002597, 79556015733, 488963529146, 3005245731481, 18470721790257, 113523996378746, 697736565265309, 4288400399533821

Offset

1,1

Comments

Column 3 of A303469.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -5*a(n-2) +20*a(n-3) -144*a(n-4) +72*a(n-5) for n>6

Example

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

Crossrefs

Cf. A303469.

Sequence in context: A200069 A302803 A300806 * A301445 A353818 A198794

Adjacent sequences: A303461 A303462 A303463 * A303465 A303466 A303467

Keyword

nonn

Author

R. H. Hardin, Apr 24 2018

Status

approved