A205330 Number of (n+1)X4 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order

396, 4860, 63270, 827904, 10839696, 141909312, 1857980448, 24321964032, 318441384576, 4168528605696, 54577498150656, 714442081600512, 9354000126167040, 122447890915479552, 1603175593043457024

Offset

1,1

Comments

Column 3 of A205335

Links

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

Formula

Empirical: a(n) = 192*a(n-2) -3844*a(n-4) +2656*a(n-5) +20720*a(n-6) -30528*a(n-7) +42944*a(n-8) -17408*a(n-9) -103424*a(n-10) +77824*a(n-11) -114688*a(n-12) +65536*a(n-13)

Example

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

Crossrefs

Sequence in context: A205628 A203934 A203927 * A092720 A230732 A034621

Adjacent sequences: A205327 A205328 A205329 * A205331 A205332 A205333

Keyword

nonn

Author

R. H. Hardin Jan 26 2012

Status

approved