A303423 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

8, 128, 1988, 30897, 480953, 7486281, 116517744, 1813509273, 28226012078, 439318146284, 6837678112091, 106423655020443, 1656409429611799, 25780849141739720, 401260805513420875, 6245342547417157374

Offset

1,1

Comments

Row 4 of A303421.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +12*a(n-2) +175*a(n-3) +283*a(n-4) -235*a(n-5) -144*a(n-6) +67*a(n-7) -135*a(n-8) +50*a(n-9)

Example

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

Crossrefs

Cf. A303421.

Sequence in context: A300204 A213414 A303417 * A301403 A317513 A300178

Adjacent sequences: A303420 A303421 A303422 * A303424 A303425 A303426

Keyword

nonn

Author

R. H. Hardin, Apr 23 2018

Status

approved