A301439 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 128, 1708, 23672, 327848, 4543028, 62956480, 872451104, 12090455460, 167549990744, 2321914313636, 32177179696056, 445912620471852, 6179474617725600, 85635402098610152, 1186738767676838336

Offset

1,1

Comments

Column 4 of A301443.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -28*a(n-2) -26*a(n-3) +40*a(n-4) -37*a(n-5) -61*a(n-6) +30*a(n-7) +36*a(n-8) +25*a(n-9) +5*a(n-10) +a(n-11)

Example

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

Crossrefs

Cf. A301443.

Sequence in context: A300800 A303452 A303458 * A302006 A302011 A301780

Adjacent sequences: A301436 A301437 A301438 * A301440 A301441 A301442

Keyword

nonn

Author

R. H. Hardin, Mar 21 2018

Status

approved