A206234 Number of (n+1) X 5 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..3 introduced in row major order.

1640, 5728, 27168, 283728, 1236432, 9042600, 95322432, 419146392, 3065437344, 32314300392, 142090622832, 1039183255560, 10954547828832, 48168721135992, 352283123630784, 3713591713969992, 16329196465097232, 119423978910831720

Offset

1,1

Comments

Column 4 of A206238.

Links

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

Formula

Empirical: a(n) = a(n-1) + 339*a(n-3) - 339*a(n-4) for n>8.

Empirical g.f.: 8*x*(205 + 511*x + 2680*x^2 - 37425*x^3 - 54141*x^4 + 67251*x^5 - 86751*x^6 + 107163*x^7) / ((1 - x)*(1 - 339*x^3)). - Colin Barker, Jun 14 2018

Example

Some solutions for n=4:
..0..0..1..1..2....0..0..1..2..0....0..0..1..1..2....0..1..0..0..2
..1..1..2..1..1....0..3..2..2..0....1..1..2..1..1....2..0..0..3..0
..2..1..1..2..1....3..2..2..0..1....3..1..1..2..1....0..0..1..0..0
..3..0..1..1..2....2..2..3..1..1....1..2..1..1..2....3..3..0..0..3
..3..3..2..1..2....2..3..1..1..0....1..1..2..1..1....1..3..0..1..2

Crossrefs

Cf. A206238.

Sequence in context: A298075 A362405 A239160 * A158775 A234986 A043464

Adjacent sequences: A206231 A206232 A206233 * A206235 A206236 A206237

Keyword

nonn

Author

R. H. Hardin, Feb 05 2012

Status

approved