A188993 Number of 3Xn binary arrays without the pattern 0 0 1 antidiagonally or horizontally

8, 64, 295, 1256, 5304, 21952, 89744, 364088, 1469600, 5913146, 23742816, 95207208, 381443400, 1527379724, 6113711024, 24465803130, 97891852484, 391642313112, 1566765146976, 6267573103552, 25071633380208, 100290042754410

Offset

1,1

Comments

Row 3 of A188992

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 8*a(n-1) -14*a(n-2) -29*a(n-3) +90*a(n-4) +12*a(n-5) -159*a(n-6) +36*a(n-7) +106*a(n-8) -35*a(n-9) -22*a(n-10) +8*a(n-11) for n>14

Example

Some solutions for 3X3
..0..1..0....1..0..0....1..0..0....0..1..1....1..1..1....1..0..0....1..0..0
..1..0..1....1..0..0....0..1..0....0..1..1....1..0..0....1..0..1....0..0..0
..0..1..0....0..0..0....1..1..0....0..1..1....1..1..0....0..1..1....0..1..1

Crossrefs

Sequence in context: A189618 A189690 A188741 * A355840 A223681 A189065

Adjacent sequences: A188990 A188991 A188992 * A188994 A188995 A188996

Keyword

nonn

Author

R. H. Hardin Apr 15 2011

Status

approved