A232312 Number of (n+1)X(4+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero

52, 853, 14042, 231454, 3815483, 62897985, 1036869496, 17092731689, 281772661177, 4645005493684, 76572638191385, 1262295368124753, 20808863766803180, 343032876614802177, 5654876487122281889

Offset

1,1

Comments

Column 4 of A232316

Links

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

Formula

Empirical: a(n) = 19*a(n-1) -44*a(n-2) +43*a(n-3) -19*a(n-4) +4*a(n-5) -2*a(n-6) for n>7

Example

Some.solutions.for.n=3
..0..0..0..1..1....0..0..1..1..1....0..0..0..1..1....0..0..1..0..1
..1..1..1..0..1....0..0..1..1..0....0..0..1..1..1....0..1..0..1..1
..0..0..0..1..1....0..0..0..0..0....0..0..1..1..0....1..1..1..0..0
..0..0..1..1..1....1..1..0..0..0....0..0..1..0..0....0..0..0..0..0

Crossrefs

Sequence in context: A160344 A163691 A007247 * A278001 A083936 A273655

Adjacent sequences: A232309 A232310 A232311 * A232313 A232314 A232315

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved