A200803 Number of n X 2 0..2 arrays with no average of any element and its diagonal, antidiagonal, horizontal and vertical neighbors equal to one.

6, 62, 378, 2758, 21028, 152410, 1123856, 8320912, 61313142, 452500906, 3340771202, 24653586076, 181959666062, 1343028411144, 9912362521336, 73160174987386, 539975059887262, 3985391431572110, 29414994393633268

Offset

1,1

Comments

Column 2 of A200809.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +7*a(n-2) +59*a(n-3) -221*a(n-4) -254*a(n-5) -396*a(n-6) +276*a(n-7) +1752*a(n-8) -7344*a(n-9) +13392*a(n-10) +4320*a(n-11) -3456*a(n-12).

Example

Some solutions for 3 X 3
..0..1....1..2....1..1....1..2....0..0....0..2....0..2....1..0....0..0....1..1
..0..0....2..0....0..0....1..2....0..2....0..0....2..1....2..2....0..2....1..0
..0..1....0..0....0..1....0..2....0..0....2..1....2..0....2..0....1..2....0..1

Crossrefs

Cf. A200809.

Sequence in context: A022502 A272956 A243643 * A198965 A342959 A144063

Adjacent sequences: A200800 A200801 A200802 * A200804 A200805 A200806

Keyword

nonn

Author

R. H. Hardin, Nov 22 2011

Status

approved