A300607 Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

1, 10, 53, 277, 1432, 7514, 39330, 205958, 1078479, 5647607, 29574290, 154869427, 810992627, 4246863308, 22239224467, 116458451229, 609849090084, 3193550233566, 16723421015675, 87574263789114, 458593470239206

Offset

1,2

Comments

Column 3 of A300612.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +5*a(n-2) -19*a(n-3) -6*a(n-4) +12*a(n-5) -2*a(n-6) +20*a(n-7) +15*a(n-8) -49*a(n-9) -35*a(n-10) +15*a(n-11) +4*a(n-12) +16*a(n-13) +36*a(n-14) +8*a(n-15) -16*a(n-16) -8*a(n-17) for n>18

Example

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

Crossrefs

Cf. A300612.

Sequence in context: A006889 A300422 A300684 * A301349 A007035 A093187

Adjacent sequences: A300604 A300605 A300606 * A300608 A300609 A300610

Keyword

nonn

Author

R. H. Hardin, Mar 09 2018

Status

approved