A301404 Number of n X 5 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.

16, 512, 15680, 483600, 14905344, 459428416, 14160945920, 436482419456, 13453684678656, 414682524038144, 12781747146699776, 393971413432651776, 12143369198333804544, 374294708852698746880, 11536874716313877610496

Offset

1,1

Comments

Column 5 of A301407.

Links

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

Formula

Empirical: a(n) = 24*a(n-1) +204*a(n-2) +228*a(n-3) -1008*a(n-4) -1008*a(n-5) +2304*a(n-6) -192*a(n-7) -512*a(n-8) for n>9.

Example

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

Crossrefs

Cf. A301407.

Sequence in context: A300205 A213415 A303418 * A303424 A317514 A300179

Adjacent sequences: A301401 A301402 A301403 * A301405 A301406 A301407

Keyword

nonn

Author

R. H. Hardin, Mar 20 2018

Status

approved