A297744 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1s.

3, 19, 66, 230, 1142, 4344, 16384, 72571, 287634, 1123621, 4738249, 19071326, 75863351, 312927750, 1266297842, 5084565886, 20767078273, 84172477515, 339590131480, 1380949668138, 5599122353424, 22643152450182, 91903294604361

Offset

1,1

Comments

Column 3 of A297749.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +46*a(n-3) -97*a(n-4) -5*a(n-5) -406*a(n-6) +458*a(n-7) -219*a(n-8) +686*a(n-9) -458*a(n-10) +566*a(n-11) +308*a(n-12) -860*a(n-13) +240*a(n-14)

Example

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

Crossrefs

Cf. A297749.

Sequence in context: A341263 A178747 A071245 * A091968 A351859 A158714

Adjacent sequences: A297741 A297742 A297743 * A297745 A297746 A297747

Keyword

nonn

Author

R. H. Hardin, Jan 05 2018

Status

approved