A301403 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 128, 1988, 31012, 483600, 7541492, 117605364, 1833990416, 28600063044, 446002115620, 6955155548976, 108461792028276, 1691401471500596, 26376467549478768, 411326377629044484, 6414406653053610276

Offset

1,1

Comments

Column 4 of A301407.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +40*a(n-2) +9*a(n-3) -29*a(n-4) +4*a(n-5)

Example

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

Crossrefs

Cf. A301407.

Sequence in context: A213414 A303417 A303423 * A317513 A300178 A013777

Adjacent sequences: A301400 A301401 A301402 * A301404 A301405 A301406

Keyword

nonn

Author

R. H. Hardin, Mar 20 2018

Status

approved