A188875 Number of 3Xn binary arrays without the pattern 0 0 0 antidiagonally or horizontally

8, 64, 316, 1901, 11332, 65656, 385700, 2262261, 13249261, 77665756, 455194656, 2667688716, 15634970127, 91633239536, 537041598796, 3147488927460, 18446758005813, 108112489924349, 633624215112740, 3713535944800748

Offset

1,1

Comments

Row 3 of A188874

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +10*a(n-2) +41*a(n-3) -3*a(n-4) -10*a(n-5) -124*a(n-6) +96*a(n-7) -50*a(n-8) +71*a(n-9) -43*a(n-10) +14*a(n-11) -5*a(n-12) +a(n-13)

Example

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

Crossrefs

Sequence in context: A223681 A189065 A189190 * A344854 A223843 A356703

Adjacent sequences: A188872 A188873 A188874 * A188876 A188877 A188878

Keyword

nonn

Author

R. H. Hardin Apr 12 2011

Status

approved