A300800 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 128, 1672, 23096, 317504, 4369224, 60123512, 827349312, 11385017480, 156667360584, 2155873946064, 29666629068872, 408237634914104, 5617691385723248, 77304133197516952, 1063769545014926728

Offset

1,1

Comments

Column 4 of A300804.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +14*a(n-2) -44*a(n-3) -63*a(n-4) +a(n-5) -17*a(n-6) +11*a(n-7) -36*a(n-8) -6*a(n-9) -a(n-10) +a(n-11)

Example

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

Crossrefs

Cf. A300804.

Sequence in context: A299657 A300211 A302743 * A303452 A303458 A301439

Adjacent sequences: A300797 A300798 A300799 * A300801 A300802 A300803

Keyword

nonn

Author

R. H. Hardin, Mar 13 2018

Status

approved