A228800 Number of 5Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se.

16, 34, 672, 3588, 37944, 272952, 2404290, 19027372, 158932704, 1292370748, 10646457736, 87161916810, 715678163448, 5868359033672, 48149246648488, 394944749457192, 3239968946054026, 26577801888192248, 218026471167729272

Offset

1,1

Comments

Row 5 of A228796

Links

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

Formula

Empirical: a(n) = a(n-1) +49*a(n-2) +107*a(n-3) -154*a(n-4) -404*a(n-5) +250*a(n-6) +472*a(n-7) -278*a(n-8) -168*a(n-9) +131*a(n-10) -9*a(n-11) -7*a(n-12) +a(n-13)

Example

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

Crossrefs

Sequence in context: A153819 A185459 A279712 * A230943 A070589 A104910

Adjacent sequences: A228797 A228798 A228799 * A228801 A228802 A228803

Keyword

nonn

Author

R. H. Hardin Sep 04 2013

Status

approved