A203832 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

28125, 1330353, 66490965, 3383285769, 173185290765, 8882824128417, 455911325162757, 23404859123410809, 1201610596654827837, 61692467471143085457, 3167408545022070490293, 162621217966800381937641

Offset

1,1

Comments

Column 5 of A203835

Links

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

Formula

Empirical: a(n) = 77*a(n-1) -1444*a(n-2) +5860*a(n-3) +38744*a(n-4) -300016*a(n-5) +339296*a(n-6) +1286720*a(n-7) -2655360*a(n-8) -56832*a(n-9) +1682944*a(n-10) -149504*a(n-11) -163840*a(n-12)

Example

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

Crossrefs

Sequence in context: A116462 A253746 A253753 * A237246 A281577 A134123

Adjacent sequences: A203829 A203830 A203831 * A203833 A203834 A203835

Keyword

nonn

Author

R. H. Hardin Jan 06 2012

Status

approved